11961972 has 48 divisors (see below), whose sum is σ = 33835200. Its totient is φ = 3624480.

The previous prime is 11961967. The next prime is 11961973. The reversal of 11961972 is 27916911.

11961972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11961973) 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, 3847 + ... + 6222.

It is an arithmetic number, because the mean of its divisors is an integer number (704900).

Almost surely, 2^11961972 is an apocalyptic number.

11961972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11961972 is an abundant number, since it is smaller than the sum of its proper divisors (21873228).

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

11961972 is a wasteful number, since it uses less digits than its factorization.

11961972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093 (or 10085 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 11961972 is about 3458.6083906681. The cubic root of 11961972 is about 228.7007526340.

The spelling of 11961972 in words is "eleven million, nine hundred sixty-one thousand, nine hundred seventy-two".