12277152 has 72 divisors (see below), whose sum is σ = 35695296. Its totient is φ = 4000896.

The previous prime is 12277151. The next prime is 12277159. The reversal of 12277152 is 25177221.

12277152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12277152² = 301456922462208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12277151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13083 + ... + 13989.

It is an arithmetic number, because the mean of its divisors is an integer number (495768).

Almost surely, 2^12277152 is an apocalyptic number.

12277152 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 12277152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847648).

12277152 is an abundant number, since it is smaller than the sum of its proper divisors (23418144).

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

12277152 is a wasteful number, since it uses less digits than its factorization.

12277152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 959 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 12277152 is about 3503.8767101598. The cubic root of 12277152 is about 230.6920053394.

The spelling of 12277152 in words is "twelve million, two hundred seventy-seven thousand, one hundred fifty-two".