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122131112312 = 231123315233911
BaseRepresentation
bin111000110111110010…
…1001110000101111000
3102200020112020100000002
41301233211032011320
54000111031043222
6132034541332132
711552344216556
oct1615745160570
9380215210002
10122131112312
1147882913370
121b805567048
13b694879581
145ca83b0bd6
15329c116392
hex1c6f94e178

122131112312 has 64 divisors (see below), whose sum is σ = 251114722560. Its totient is φ = 55225465600.

The previous prime is 122131112293. The next prime is 122131112317. The reversal of 122131112312 is 213211131221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122131112317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31225637 + ... + 31229547.

It is an arithmetic number, because the mean of its divisors is an integer number (3923667540).

Almost surely, 2122131112312 is an apocalyptic number.

It is an amenable number.

122131112312 is an abundant number, since it is smaller than the sum of its proper divisors (128983610248).

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

122131112312 is a wasteful number, since it uses less digits than its factorization.

122131112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5680 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

Adding to 122131112312 its reverse (213211131221), we get a palindrome (335342243533).

The spelling of 122131112312 in words is "one hundred twenty-two billion, one hundred thirty-one million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 233 466 932 1523 1864 2563 3046 3911 5126 6092 7822 10252 12184 15644 16753 20504 31288 33506 43021 67012 86042 134024 172084 344168 354859 709718 911263 1419436 1822526 2838872 3645052 3903449 5956453 7290104 7806898 10023893 11912906 15613796 20047786 23825812 31227592 40095572 47651624 65520983 80191144 131041966 262083932 524167864 1387853549 2775707098 5551414196 11102828392 15266389039 30532778078 61065556156 122131112312