120753587200 has 264 divisors, whose sum is σ = 311233740480. Its totient is φ = 46397030400.

The previous prime is 120753587161. The next prime is 120753587209. The reversal of 120753587200 is 2785357021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (120753587209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230886139 + ... + 230886661.

Almost surely, 2^120753587200 is an apocalyptic number.

120753587200 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 120753587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155616870240).

120753587200 is an abundant number, since it is smaller than the sum of its proper divisors (190480153280).

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

120753587200 is a wasteful number, since it uses less digits than its factorization.

120753587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 120753587200 in words is "one hundred twenty billion, seven hundred fifty-three million, five hundred eighty-seven thousand, two hundred".