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120202112020212 = 223237672275933449
BaseRepresentation
bin11011010101001010111100…
…001100000010111011110100
3120202121012122212012110111200
4123111022330030002323310
5111223342411134121322
61103352030554532500
734214213251050405
oct3325127414027364
9522535585173450
10120202112020212
113533347a633462
1211593b84137130
13520c01a184c41
142197b558499ac
15dd6aed2188ac
hex6d52bc302ef4

120202112020212 has 144 divisors (see below), whose sum is σ = 318109058030400. Its totient is φ = 38233430078976.

The previous prime is 120202112020171. The next prime is 120202112020229. The reversal of 120202112020212 is 212020211202021.

It is a happy number.

120202112020212 is a `hidden beast` number, since 1 + 20 + 20 + 211 + 202 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17291664 + ... + 23225112.

Almost surely, 2120202112020212 is an apocalyptic number.

120202112020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120202112020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159054529015200).

120202112020212 is an abundant number, since it is smaller than the sum of its proper divisors (197906946010188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120202112020212 is a wasteful number, since it uses less digits than its factorization.

120202112020212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933790 (or 5933785 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120202112020212 its reverse (212020211202021), we get a palindrome (332222323222233).

It can be divided in two parts, 12020211202021 and 2, that multiplied together give a palindrome (24040422404042).

The spelling of 120202112020212 in words is "one hundred twenty trillion, two hundred two billion, one hundred twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 67 74 111 134 148 201 222 227 268 333 402 444 454 603 666 681 804 908 1206 1332 1362 2043 2412 2479 2724 4086 4958 7437 8172 8399 9916 14874 15209 16798 22311 25197 29748 30418 33596 44622 45627 50394 60836 75591 89244 91254 100788 136881 151182 182508 273762 302364 547524 562733 1125466 1688199 2250932 3376398 5064597 5933449 6752796 10129194 11866898 17800347 20258388 23733796 35600694 53401041 71201388 106802082 213604164 219537613 397541083 439075226 658612839 795082166 878150452 1192623249 1317225678 1346892923 1590164332 1975838517 2385246498 2634451356 2693785846 3577869747 3951677034 4040678769 4770492996 5387571692 7155739494 7903354068 8081357538 12122036307 14311478988 14709020071 16162715076 24244072614 29418040142 44127060213 48488145228 49835038151 58836080284 88254120426 90241825841 99670076302 132381180639 149505114453 176508240852 180483651682 199340152604 264762361278 270725477523 299010228906 360967303364 448515343359 529524722556 541450955046 598020457812 812176432569 897030686718 1082901910092 1624352865138 1794061373436 3248705730276 3338947556117 6677895112234 10016842668351 13355790224468 20033685336702 30050528005053 40067370673404 60101056010106 120202112020212