120398335200 has 1728 divisors, whose sum is σ = 533134877184. Its totient is φ = 26127360000.

The previous prime is 120398335181. The next prime is 120398335231. The reversal of 120398335200 is 2533893021.

120398335200 is a `hidden beast` number, since 1 + 20 + 39 + 83 + 3 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1695751165 + ... + 1695751235.

It is an arithmetic number, because the mean of its divisors is an integer number (308527128).

Almost surely, 2^120398335200 is an apocalyptic number.

120398335200 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 120398335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266567438592).

120398335200 is an abundant number, since it is smaller than the sum of its proper divisors (412736541984).

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

120398335200 is a wasteful number, since it uses less digits than its factorization.

120398335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 120398335200 in words is "one hundred twenty billion, three hundred ninety-eight million, three hundred thirty-five thousand, two hundred".