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122101220202012 = 223246726669272329
BaseRepresentation
bin11011110000110011100111…
…110110110101011000011100
3121000022202120222021220122100
4123300303213312311120130
5112001001244332431022
61111404305354045100
734501344030206052
oct3360634766653034
9530282528256570
10122101220202012
11359a59226a4a07
121184004b719790
1353191322192ac
142221a32a4c1d2
15e1b1eda491ac
hex6f0ce7db561c

122101220202012 has 72 divisors (see below), whose sum is σ = 309318394366800. Its totient is φ = 40611581837568.

The previous prime is 122101220201969. The next prime is 122101220202019. The reversal of 122101220202012 is 210202022101221.

It is a happy number.

122101220202012 is a `hidden beast` number, since 1 + 221 + 0 + 1 + 220 + 20 + 201 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101220202019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448223064 + ... + 448495392.

It is an arithmetic number, because the mean of its divisors is an integer number (4296088810650).

Almost surely, 2122101220202012 is an apocalyptic number.

122101220202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122101220202012 is an abundant number, since it is smaller than the sum of its proper divisors (187217174164788).

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

122101220202012 is a wasteful number, since it uses less digits than its factorization.

122101220202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299475 (or 299470 counting only the distinct ones).

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

Adding to 122101220202012 its reverse (210202022101221), we get a palindrome (332303242303233).

The spelling of 122101220202012 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 467 934 1401 1868 2802 4203 5604 8406 16812 26669 53338 80007 106676 160014 240021 272329 320028 480042 544658 816987 960084 1089316 1633974 2450961 3267948 4901922 9803844 12454423 24908846 37363269 49817692 74726538 112089807 127177643 149453076 224179614 254355286 381532929 448359228 508710572 763065858 1144598787 1526131716 2289197574 4578395148 7262742101 14525484202 21788226303 29050968404 43576452606 65364678909 87152905212 130729357818 261458715636 3391700561167 6783401122334 10175101683501 13566802244668 20350203367002 30525305050503 40700406734004 61050610101006 122101220202012