120838890816 has 1344 divisors, whose sum is σ = 468336660480. Its totient is φ = 28983951360.

The previous prime is 120838890751. The next prime is 120838890871. The reversal of 120838890816 is 618098838021.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2279979046 + ... + 2279979098.

Almost surely, 2^120838890816 is an apocalyptic number.

120838890816 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 120838890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234168330240).

120838890816 is an abundant number, since it is smaller than the sum of its proper divisors (347497769664).

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

120838890816 is a wasteful number, since it uses less digits than its factorization.

120838890816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 120838890816 in words is "one hundred twenty billion, eight hundred thirty-eight million, eight hundred ninety thousand, eight hundred sixteen".