120672314400 has 288 divisors, whose sum is σ = 431348391936. Its totient is φ = 29059200000.

The previous prime is 120672314369. The next prime is 120672314401. The reversal of 120672314400 is 4413276021.

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

It is not an unprimeable number, because it can be changed into a prime (120672314401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3971265 + ... + 4001535.

It is an arithmetic number, because the mean of its divisors is an integer number (1497737472).

Almost surely, 2^120672314400 is an apocalyptic number.

120672314400 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 120672314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215674195968).

120672314400 is an abundant number, since it is smaller than the sum of its proper divisors (310676077536).

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

120672314400 is a wasteful number, since it uses less digits than its factorization.

120672314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30456 (or 30443 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 120672314400 in words is "one hundred twenty billion, six hundred seventy-two million, three hundred fourteen thousand, four hundred".