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122012122011012 = 223223612415698939
BaseRepresentation
bin11011101111100000101001…
…001100001101010110000100
3121000000020121120022211220100
4123233200221030031112010
5111443021311213323022
61111255332310404100
734462041061114212
oct3357405114152604
9530006546284810
10122012122011012
1135971061031312
1211826924960630
1353109031a4c0c
14221b5bd81bcb2
15e18c369551ac
hex6ef82930d584

122012122011012 has 72 divisors (see below), whose sum is σ = 327104962067520. Its totient is φ = 38264671177920.

The previous prime is 122012122010981. The next prime is 122012122011041. The reversal of 122012122011012 is 210110221210221.

122012122011012 is a `hidden beast` number, since 1 + 220 + 121 + 220 + 1 + 101 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1207798962 + ... + 1207899977.

It is an arithmetic number, because the mean of its divisors is an integer number (4543124473160).

Almost surely, 2122012122011012 is an apocalyptic number.

122012122011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122012122011012 is an abundant number, since it is smaller than the sum of its proper divisors (205092840056508).

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

122012122011012 is a wasteful number, since it uses less digits than its factorization.

122012122011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415699033 (or 2415699028 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122012122011012 its reverse (210110221210221), we get a palindrome (332122343221233).

The spelling of 122012122011012 in words is "one hundred twenty-two trillion, twelve billion, one hundred twenty-two million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 61 69 92 122 138 183 207 244 276 366 414 549 732 828 1098 1403 2196 2806 4209 5612 8418 12627 16836 25254 50508 2415698939 4831397878 7247096817 9662795756 14494193634 21741290451 28988387268 43482580902 55561075597 86965161804 111122151194 147357635279 166683226791 222244302388 294715270558 333366453582 442072905837 500049680373 589430541116 666732907164 884145811674 1000099360746 1326218717511 1768291623348 2000198721492 2652437435022 3389225611417 5304874870044 6778451222834 10167676834251 13556902445668 20335353668502 30503030502753 40670707337004 61006061005506 122012122011012