120881376 has 384 divisors, whose sum is σ = 464486400. Its totient is φ = 29652480.

The previous prime is 120881351. The next prime is 120881377. The reversal of 120881376 is 673188021.

120881376 is a `hidden beast` number, since 1 + 208 + 81 + 376 = 666.

It is a super-2 number, since 2×120881376² = 29224614127306752, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120881376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120881377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1530105 + ... + 1530183.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^120881376 is an apocalyptic number.

120881376 is a gapful number since it is divisible by the number (16) 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 120881376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

120881376 is an abundant number, since it is smaller than the sum of its proper divisors (343605024).

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

120881376 is a wasteful number, since it uses less digits than its factorization.

120881376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 120881376 is about 10994.6066778216. The cubic root of 120881376 is about 494.4470593343.

The spelling of 120881376 in words is "one hundred twenty million, eight hundred eighty-one thousand, three hundred seventy-six".