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122112100012 = 2274499713021
BaseRepresentation
bin111000110111001110…
…0101100011010101100
3102200012012110102000211
41301232130230122230
54000041144200022
6132033022032204
711552023503250
oct1615634543254
9380165412024
10122112100012
1147873108121
121b7bb118664
13b6909508a6
145ca5a62260
15329a60ce77
hex1c6e72c6ac

122112100012 has 24 divisors (see below), whose sum is σ = 244768154400. Its totient is φ = 52217195520.

The previous prime is 122112100009. The next prime is 122112100039. The reversal of 122112100012 is 210001211221.

It is a super-2 number, since 2×1221121000122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112099965 and 122112100001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4843939 + ... + 4869082.

It is an arithmetic number, because the mean of its divisors is an integer number (10198673100).

Almost surely, 2122112100012 is an apocalyptic number.

It is an amenable number.

122112100012 is an abundant number, since it is smaller than the sum of its proper divisors (122656054388).

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

122112100012 is a wasteful number, since it uses less digits than its factorization.

122112100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713481 (or 9713479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122112100012 its reverse (210001211221), we get a palindrome (332113311233).

The spelling of 122112100012 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred thousand, twelve".

Divisors: 1 2 4 7 14 28 449 898 1796 3143 6286 12572 9713021 19426042 38852084 67991147 135982294 271964588 4361146429 8722292858 17444585716 30528025003 61056050006 122112100012