120012816 has 160 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 29514240.

The previous prime is 120012799. The next prime is 120012821. The reversal of 120012816 is 618210021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 120012792 and 120012801.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69370 + ... + 71078.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2^120012816 is an apocalyptic number.

120012816 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 120012816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

120012816 is an abundant number, since it is smaller than the sum of its proper divisors (287103984).

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

120012816 is a wasteful number, since it uses less digits than its factorization.

120012816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 120012816 is about 10955.0361021769. The cubic root of 120012816 is about 493.2599736710.

Adding to 120012816 its reverse (618210021), we get a palindrome (738222837).

The spelling of 120012816 in words is "one hundred twenty million, twelve thousand, eight hundred sixteen".