129801034681920 has 896 divisors, whose sum is σ = 546221700218880. Its totient is φ = 28371395543040.

The previous prime is 129801034681907. The next prime is 129801034681949. The reversal of 129801034681920 is 29186430108921.

It is a happy number.

129801034681920 is a `hidden beast` number, since 1 + 2 + 9 + 80 + 10 + 3 + 468 + 1 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6542051200 + ... + 6542071040.

It is an arithmetic number, because the mean of its divisors is an integer number (609622433280).

Almost surely, 2^{129801034681920} is an apocalyptic number.

129801034681920 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 129801034681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273110850109440).

129801034681920 is an abundant number, since it is smaller than the sum of its proper divisors (416420665536960).

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

129801034681920 is a wasteful number, since it uses less digits than its factorization.

129801034681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24600 (or 24584 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 129801034681920 in words is "one hundred twenty-nine trillion, eight hundred one billion, thirty-four million, six hundred eighty-one thousand, nine hundred twenty".