972042012 has 96 divisors (see below), whose sum is σ = 2575910400. Its totient is φ = 316918656.

The previous prime is 972041999. The next prime is 972042013. The reversal of 972042012 is 210240279.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972042013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095433 + ... + 1096319.

It is an arithmetic number, because the mean of its divisors is an integer number (26832400).

Almost surely, 2^972042012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972042012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287955200).

972042012 is an abundant number, since it is smaller than the sum of its proper divisors (1603868388).

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

972042012 is a wasteful number, since it uses less digits than its factorization.

972042012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 972042012 is about 31177.5882967237. The cubic root of 972042012 is about 990.5924461261.

The spelling of 972042012 in words is "nine hundred seventy-two million, forty-two thousand, twelve".