120258652800 has 768 divisors, whose sum is σ = 492819707520. Its totient is φ = 25323110400.

The previous prime is 120258652799. The next prime is 120258652819. The reversal of 120258652800 is 8256852021.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23335024 + ... + 23340176.

Almost surely, 2^120258652800 is an apocalyptic number.

120258652800 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 120258652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246409853760).

120258652800 is an abundant number, since it is smaller than the sum of its proper divisors (372561054720).

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

120258652800 is a wasteful number, since it uses less digits than its factorization.

120258652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 120258652800 in words is "one hundred twenty billion, two hundred fifty-eight million, six hundred fifty-two thousand, eight hundred".