120771216 has 80 divisors (see below), whose sum is σ = 352417920. Its totient is φ = 39588480.

The previous prime is 120771197. The next prime is 120771251. The reversal of 120771216 is 612177021.

It is a super-2 number, since 2×120771216² = 29171373228237312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 120771216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24061 + ... + 28643.

It is an arithmetic number, because the mean of its divisors is an integer number (4405224).

Almost surely, 2^120771216 is an apocalyptic number.

120771216 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 120771216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176208960).

120771216 is an abundant number, since it is smaller than the sum of its proper divisors (231646704).

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

120771216 is a wasteful number, since it uses less digits than its factorization.

120771216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 120771216 is about 10989.5958069439. The cubic root of 120771216 is about 494.2968160572.

The spelling of 120771216 in words is "one hundred twenty million, seven hundred seventy-one thousand, two hundred sixteen".