129621298968 has 144 divisors (see below), whose sum is σ = 408654090000. Its totient is φ = 37009187712.

The previous prime is 129621298943. The next prime is 129621298979. The reversal of 129621298968 is 869892126921.

It is a super-2 number, since 2×129621298968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5453013 + ... + 5476731.

It is an arithmetic number, because the mean of its divisors is an integer number (2837875625).

Almost surely, 2^129621298968 is an apocalyptic number.

129621298968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

129621298968 is the 227703-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129621298968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204327045000).

129621298968 is an abundant number, since it is smaller than the sum of its proper divisors (279032791032).

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

129621298968 is a wasteful number, since it uses less digits than its factorization.

With its successor (129621298969) it forms an eRAP, since the sums of their prime factors are consecutive (25294 and 25295).

129621298968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25294 (or 25280 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 129621298968 in words is "one hundred twenty-nine billion, six hundred twenty-one million, two hundred ninety-eight thousand, nine hundred sixty-eight".