129245521920 has 384 divisors, whose sum is σ = 439939019520. Its totient is φ = 32280412160.

The previous prime is 129245521901. The next prime is 129245521939. The reversal of 129245521920 is 29125542921.

It is an interprime number because it is at equal distance from previous prime (129245521901) and next prime (129245521939).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137348650 + ... + 137349590.

It is an arithmetic number, because the mean of its divisors is an integer number (1145674530).

Almost surely, 2^129245521920 is an apocalyptic number.

129245521920 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 129245521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219969509760).

129245521920 is an abundant number, since it is smaller than the sum of its proper divisors (310693497600).

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

129245521920 is a wasteful number, since it uses less digits than its factorization.

129245521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 129245521920 in words is "one hundred twenty-nine billion, two hundred forty-five million, five hundred twenty-one thousand, nine hundred twenty".