120772278 has 72 divisors (see below), whose sum is σ = 291931848. Its totient is φ = 36082200.

The previous prime is 120772273. The next prime is 120772279. The reversal of 120772278 is 872277021.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120772273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1700983 + ... + 1701053.

It is an arithmetic number, because the mean of its divisors is an integer number (4054609).

Almost surely, 2^120772278 is an apocalyptic number.

120772278 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120772278, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145965924).

120772278 is an abundant number, since it is smaller than the sum of its proper divisors (171159570).

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

120772278 is an equidigital number, since it uses as much as digits as its factorization.

120772278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 120772278 is about 10989.6441252663. The cubic root of 120772278 is about 494.2982649170.

The spelling of 120772278 in words is "one hundred twenty million, seven hundred seventy-two thousand, two hundred seventy-eight".