120700624800 has 576 divisors, whose sum is σ = 465234223104. Its totient is φ = 26609049600.

The previous prime is 120700624789. The next prime is 120700624859. The reversal of 120700624800 is 8426007021.

It is a super-2 number, since 2×120700624800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56060524 + ... + 56062676.

It is an arithmetic number, because the mean of its divisors is an integer number (807698304).

Almost surely, 2^120700624800 is an apocalyptic number.

120700624800 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 120700624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232617111552).

120700624800 is an abundant number, since it is smaller than the sum of its proper divisors (344533598304).

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

120700624800 is a wasteful number, since it uses less digits than its factorization.

120700624800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 120700624800 in words is "one hundred twenty billion, seven hundred million, six hundred twenty-four thousand, eight hundred".