120532492800 has 240 divisors, whose sum is σ = 442414109280. Its totient is φ = 32141905920.

The previous prime is 120532492783. The next prime is 120532492819. The reversal of 120532492800 is 8294235021.

It is a happy number.

120532492800 is a `hidden beast` number, since 1 + 2 + 0 + 532 + 49 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171219 + ... + 519981.

It is an arithmetic number, because the mean of its divisors is an integer number (1843392122).

Almost surely, 2^120532492800 is an apocalyptic number.

120532492800 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 120532492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221207054640).

120532492800 is an abundant number, since it is smaller than the sum of its proper divisors (321881616480).

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

120532492800 is an equidigital number, since it uses as much as digits as its factorization.

120532492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348800 (or 348773 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 120532492800 in words is "one hundred twenty billion, five hundred thirty-two million, four hundred ninety-two thousand, eight hundred".