130129099776000 has 4480 divisors, whose sum is σ = 573563828597760. Its totient is φ = 29047652352000.

The previous prime is 130129099775993. The next prime is 130129099776001. The reversal of 130129099776000 is 677990921031.

It is a happy number.

130129099776000 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 29 + 0 + 9 + 9 + 7 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130129099776001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 568249343886 + ... + 568249344114.

It is an arithmetic number, because the mean of its divisors is an integer number (128027640312).

Almost surely, 2^{130129099776000} is an apocalyptic number.

130129099776000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130129099776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286781914298880).

130129099776000 is an abundant number, since it is smaller than the sum of its proper divisors (443434728821760).

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

130129099776000 is a wasteful number, since it uses less digits than its factorization.

130129099776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 130129099776000 in words is "one hundred thirty trillion, one hundred twenty-nine billion, ninety-nine million, seven hundred seventy-six thousand".