120416772 has 96 divisors (see below), whose sum is σ = 334946304. Its totient is φ = 32947200.

The previous prime is 120416771. The next prime is 120416789. The reversal of 120416772 is 277614021.

It is not an unprimeable number, because it can be changed into a prime (120416771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340948 + ... + 341300.

It is an arithmetic number, because the mean of its divisors is an integer number (3489024).

Almost surely, 2^120416772 is an apocalyptic number.

120416772 is a gapful number since it is divisible by the number (12) 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 120416772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167473152).

120416772 is an abundant number, since it is smaller than the sum of its proper divisors (214529532).

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

120416772 is a wasteful number, since it uses less digits than its factorization.

120416772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 120416772 is about 10973.4576137150. The cubic root of 120416772 is about 493.8127818047.

The spelling of 120416772 in words is "one hundred twenty million, four hundred sixteen thousand, seven hundred seventy-two".