120394598400 has 1152 divisors, whose sum is σ = 482594112000. Its totient is φ = 29302456320.

The previous prime is 120394598381. The next prime is 120394598437. The reversal of 120394598400 is 4895493021.

120394598400 is a `hidden beast` number, since 1 + 20 + 39 + 4 + 598 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1104537546 + ... + 1104537654.

It is an arithmetic number, because the mean of its divisors is an integer number (418918500).

Almost surely, 2^120394598400 is an apocalyptic number.

120394598400 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 120394598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056000).

120394598400 is an abundant number, since it is smaller than the sum of its proper divisors (362199513600).

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

120394598400 is a wasteful number, since it uses less digits than its factorization.

120394598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 120394598400 in words is "one hundred twenty billion, three hundred ninety-four million, five hundred ninety-eight thousand, four hundred".