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122129620896 = 2531966957029
BaseRepresentation
bin111000110111101111…
…1100001111110100000
3102200020102102120011110
41301233133201332200
54000110140332041
6132034445343320
711552325435453
oct1615737417640
9380212376143
10122129620896
1147881a94898
121b804b67b40
13b69447678a
145ca810349a
15329be1e516
hex1c6f7e1fa0

122129620896 has 48 divisors (see below), whose sum is σ = 337463431200. Its totient is φ = 38567248128.

The previous prime is 122129620841. The next prime is 122129620897. The reversal of 122129620896 is 698026921221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (122129620897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33476691 + ... + 33480338.

It is an arithmetic number, because the mean of its divisors is an integer number (7030488150).

Almost surely, 2122129620896 is an apocalyptic number.

122129620896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122129620896 is an abundant number, since it is smaller than the sum of its proper divisors (215333810304).

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

122129620896 is a wasteful number, since it uses less digits than its factorization.

122129620896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66957061 (or 66957053 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 122129620896 in words is "one hundred twenty-two billion, one hundred twenty-nine million, six hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 66957029 133914058 200871087 267828116 401742174 535656232 803484348 1071312464 1272183551 1606968696 2142624928 2544367102 3213937392 3816550653 5088734204 6427874784 7633101306 10177468408 15266202612 20354936816 30532405224 40709873632 61064810448 122129620896