12777972 has 48 divisors (see below), whose sum is σ = 31621632. Its totient is φ = 4007520.

The previous prime is 12777967. The next prime is 12777979. The reversal of 12777972 is 27977721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12777979) 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, 18147 + ... + 18837.

It is an arithmetic number, because the mean of its divisors is an integer number (658784).

Almost surely, 2^12777972 is an apocalyptic number.

12777972 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 12777972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15810816).

12777972 is an abundant number, since it is smaller than the sum of its proper divisors (18843660).

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

12777972 is a wasteful number, since it uses less digits than its factorization.

12777972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 786 counting only the distinct ones).

The product of its digits is 86436, while the sum is 42.

The square root of 12777972 is about 3574.6289317914. The cubic root of 12777972 is about 233.7871539596.

The spelling of 12777972 in words is "twelve million, seven hundred seventy-seven thousand, nine hundred seventy-two".