12277560 has 64 divisors (see below), whose sum is σ = 37234080. Its totient is φ = 3238400.

The previous prime is 12277543. The next prime is 12277567. The reversal of 12277560 is 6577221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12277567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11614 + ... + 12626.

Almost surely, 2^12277560 is an apocalyptic number.

12277560 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 12277560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617040).

12277560 is an abundant number, since it is smaller than the sum of its proper divisors (24956520).

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

12277560 is a wasteful number, since it uses less digits than its factorization.

12277560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 12277560 is about 3503.9349309027. The cubic root of 12277560 is about 230.6945607989.

The spelling of 12277560 in words is "twelve million, two hundred seventy-seven thousand, five hundred sixty".