120624008268400 has 480 divisors, whose sum is σ = 360833761411200. Its totient is φ = 37730849587200.

The previous prime is 120624008268343. The next prime is 120624008268419. The reversal of 120624008268400 is 4862800426021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9618366130 + ... + 9618378670.

It is an arithmetic number, because the mean of its divisors is an integer number (751737002940).

Almost surely, 2^{120624008268400} is an apocalyptic number.

120624008268400 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 120624008268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180416880705600).

120624008268400 is an abundant number, since it is smaller than the sum of its proper divisors (240209753142800).

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

120624008268400 is a wasteful number, since it uses less digits than its factorization.

120624008268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15637 (or 15626 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 120624008268400 in words is "one hundred twenty trillion, six hundred twenty-four billion, eight million, two hundred sixty-eight thousand, four hundred".