120677120 has 72 divisors (see below), whose sum is σ = 299118960. Its totient is φ = 46592000.

The previous prime is 120677111. The next prime is 120677129. The reversal of 120677120 is 21776021.

It is an interprime number because it is at equal distance from previous prime (120677111) and next prime (120677129).

It is a self number, because there is not a number n which added to its sum of digits gives 120677120.

It is not an unprimeable number, because it can be changed into a prime (120677129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35495 + ... + 38745.

It is an arithmetic number, because the mean of its divisors is an integer number (4154430).

Almost surely, 2^120677120 is an apocalyptic number.

120677120 is a gapful number since it is divisible by the number (10) 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 120677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149559480).

120677120 is an abundant number, since it is smaller than the sum of its proper divisors (178441840).

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

120677120 is an equidigital number, since it uses as much as digits as its factorization.

120677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 120677120 is about 10985.3138325676. The cubic root of 120677120 is about 494.1684095285.

The spelling of 120677120 in words is "one hundred twenty million, six hundred seventy-seven thousand, one hundred twenty".