972861120000 has 2400 divisors, whose sum is σ = 4522872017664. Its totient is φ = 195379200000.

The previous prime is 972861119999. The next prime is 972861120013. The reversal of 972861120000 is 21168279.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9092159947 + ... + 9092160053.

Almost surely, 2^972861120000 is an apocalyptic number.

972861120000 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 972861120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261436008832).

972861120000 is an abundant number, since it is smaller than the sum of its proper divisors (3550010897664).

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

972861120000 is a wasteful number, since it uses less digits than its factorization.

972861120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 972861120000 its reverse (21168279), we get a palindrome (972882288279).

The spelling of 972861120000 in words is "nine hundred seventy-two billion, eight hundred sixty-one million, one hundred twenty thousand".