120277164 has 72 divisors (see below), whose sum is σ = 332095680. Its totient is φ = 33772704.

The previous prime is 120277151. The next prime is 120277169. The reversal of 120277164 is 461772021.

It is not an unprimeable number, because it can be changed into a prime (120277169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32959 + ... + 36425.

It is an arithmetic number, because the mean of its divisors is an integer number (4612440).

Almost surely, 2^120277164 is an apocalyptic number.

120277164 is a gapful number since it is divisible by the number (14) 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 120277164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166047840).

120277164 is an abundant number, since it is smaller than the sum of its proper divisors (211818516).

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

120277164 is a wasteful number, since it uses less digits than its factorization.

120277164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3538 counting only the distinct ones).

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

The square root of 120277164 is about 10967.0946015798. The cubic root of 120277164 is about 493.6218702084.

It can be divided in two parts, 12027 and 7164, that added together give a palindrome (19191).

The spelling of 120277164 in words is "one hundred twenty million, two hundred seventy-seven thousand, one hundred sixty-four".