120100324102400 has 648 divisors, whose sum is σ = 337828103555040. Its totient is φ = 42107721154560.

The previous prime is 120100324102337. The next prime is 120100324102469. The reversal of 120100324102400 is 4201423001021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2317305287 + ... + 2317357113.

It is an arithmetic number, because the mean of its divisors is an integer number (521339665980).

Almost surely, 2^{120100324102400} is an apocalyptic number.

120100324102400 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 120100324102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168914051777520).

120100324102400 is an abundant number, since it is smaller than the sum of its proper divisors (217727779452640).

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

120100324102400 is a wasteful number, since it uses less digits than its factorization.

120100324102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51967 (or 51929 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 120100324102400 its reverse (4201423001021), we get a palindrome (124301747103421).

The spelling of 120100324102400 in words is "one hundred twenty trillion, one hundred billion, three hundred twenty-four million, one hundred two thousand, four hundred".