129562190016 has 112 divisors (see below), whose sum is σ = 396173675520. Its totient is φ = 36601804800.

The previous prime is 129562190011. The next prime is 129562190029. The reversal of 129562190016 is 610091265921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×129562190016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 129562190016.

It is not an unprimeable number, because it can be changed into a prime (129562190011) 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, 421960 + ... + 661191.

It is an arithmetic number, because the mean of its divisors is an integer number (3537264960).

Almost surely, 2^129562190016 is an apocalyptic number.

129562190016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

129562190016 is an abundant number, since it is smaller than the sum of its proper divisors (266611485504).

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

129562190016 is a wasteful number, since it uses less digits than its factorization.

129562190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083262 (or 1083252 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 129562190016 in words is "one hundred twenty-nine billion, five hundred sixty-two million, one hundred ninety thousand, sixteen".