11946972 has 48 divisors (see below), whose sum is σ = 29859200. Its totient is φ = 3706560.

The previous prime is 11946943. The next prime is 11946973. The reversal of 11946972 is 27964911.

It is a self number, because there is not a number n which added to its sum of digits gives 11946972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11946973) 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, 13479 + ... + 14337.

Almost surely, 2^11946972 is an apocalyptic number.

11946972 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 11946972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929600).

11946972 is an abundant number, since it is smaller than the sum of its proper divisors (17912228).

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

11946972 is a wasteful number, since it uses less digits than its factorization.

11946972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 11946972 is about 3456.4392082026. The cubic root of 11946972 is about 228.6051177278.

The spelling of 11946972 in words is "eleven million, nine hundred forty-six thousand, nine hundred seventy-two".