120901896 has 80 divisors (see below), whose sum is σ = 346592400. Its totient is φ = 39354336.

The previous prime is 120901877. The next prime is 120901919. The reversal of 120901896 is 698109021.

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 120901896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25695 + ... + 30033.

It is an arithmetic number, because the mean of its divisors is an integer number (4332405).

Almost surely, 2^120901896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120901896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173296200).

120901896 is an abundant number, since it is smaller than the sum of its proper divisors (225690504).

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

120901896 is a wasteful number, since it uses less digits than its factorization.

120901896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 120901896 is about 10995.5398230373. The cubic root of 120901896 is about 494.4750357409.

The spelling of 120901896 in words is "one hundred twenty million, nine hundred one thousand, eight hundred ninety-six".