120375882000 has 1440 divisors, whose sum is σ = 505700133120. Its totient is φ = 27599616000.

The previous prime is 120375881993. The next prime is 120375882017. The reversal of 120375882000 is 288573021.

120375882000 is a `hidden beast` number, since 1 + 2 + 0 + 375 + 88 + 200 + 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, 1352537956 + ... + 1352538044.

It is an arithmetic number, because the mean of its divisors is an integer number (351180648).

Almost surely, 2^120375882000 is an apocalyptic number.

120375882000 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 120375882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252850066560).

120375882000 is an abundant number, since it is smaller than the sum of its proper divisors (385324251120).

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

120375882000 is a wasteful number, since it uses less digits than its factorization.

120375882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 120375882000 in words is "one hundred twenty billion, three hundred seventy-five million, eight hundred eighty-two thousand".