970412227200 has 768 divisors, whose sum is σ = 3849686937600. Its totient is φ = 237306101760.

The previous prime is 970412227189. The next prime is 970412227207. The reversal of 970412227200 is 2722214079.

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

It is not an unprimeable number, because it can be changed into a prime (970412227207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176339649 + ... + 176345151.

It is an arithmetic number, because the mean of its divisors is an integer number (5012613200).

Almost surely, 2^970412227200 is an apocalyptic number.

970412227200 is a gapful number since it is divisible by the number (90) 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 970412227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924843468800).

970412227200 is an abundant number, since it is smaller than the sum of its proper divisors (2879274710400).

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

970412227200 is a wasteful number, since it uses less digits than its factorization.

970412227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 970412227200 in words is "nine hundred seventy billion, four hundred twelve million, two hundred twenty-seven thousand, two hundred".