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120212020100 = 2252173119711579
BaseRepresentation
bin110111111110100110…
…0011101101110000100
3102111021210010100101202
41233331030131232010
53432143234120400
6131120304442032
711453652211544
oct1577514355604
9374253110352
10120212020100
1146a88607a47
121b36a919318
13b44a0bc853
145b65577324
1531d88d64d5
hex1bfd31db84

120212020100 has 144 divisors (see below), whose sum is σ = 286586657280. Its totient is φ = 43570329600.

The previous prime is 120212020081. The next prime is 120212020111. The reversal of 120212020100 is 1020212021.

It is a happy 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, 10376111 + ... + 10387689.

It is an arithmetic number, because the mean of its divisors is an integer number (1990185120).

Almost surely, 2120212020100 is an apocalyptic number.

120212020100 is a gapful number since it is divisible by the number (10) 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 120212020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143293328640).

120212020100 is an abundant number, since it is smaller than the sum of its proper divisors (166374637180).

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

120212020100 is a wasteful number, since it uses less digits than its factorization.

120212020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11838 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120212020100 its reverse (1020212021), we get a palindrome (121232232121).

The spelling of 120212020100 in words is "one hundred twenty billion, two hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 197 310 340 394 425 527 620 775 788 850 985 1054 1550 1700 1970 2108 2635 3100 3349 3940 4925 5270 6107 6698 9850 10540 11579 12214 13175 13396 16745 19700 23158 24428 26350 30535 33490 46316 52700 57895 61070 66980 83725 103819 115790 122140 152675 167450 196843 207638 231580 289475 305350 334900 358949 393686 415276 519095 578950 610700 717898 787372 984215 1038190 1157900 1435796 1794745 1968430 2076380 2281063 2595475 3589490 3936860 4562126 4921075 5190950 6102133 7178980 8973725 9124252 9842150 10381900 11405315 12204266 17947450 19684300 22810630 24408532 30510665 35894900 38778071 45621260 57026575 61021330 70712953 77556142 114053150 122042660 141425906 152553325 155112284 193890355 228106300 282851812 305106650 353564765 387780710 610213300 707129530 775561420 969451775 1202120201 1414259060 1767823825 1938903550 2404240402 3535647650 3877807100 4808480804 6010601005 7071295300 12021202010 24042404020 30053005025 60106010050 120212020100