129070760000 has 560 divisors, whose sum is σ = 401255057280. Its totient is φ = 40089600000.

The previous prime is 129070759991. The next prime is 129070760053. The reversal of 129070760000 is 67070921.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×129070760000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 214759700 + ... + 214760300.

It is an arithmetic number, because the mean of its divisors is an integer number (716526888).

Almost surely, 2^129070760000 is an apocalyptic number.

129070760000 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 129070760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200627528640).

129070760000 is an abundant number, since it is smaller than the sum of its proper divisors (272184297280).

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

129070760000 is an equidigital number, since it uses as much as digits as its factorization.

129070760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The spelling of 129070760000 in words is "one hundred twenty-nine billion, seventy million, seven hundred sixty thousand".