978112000000 has 728 divisors, whose sum is σ = 2764427114880. Its totient is φ = 344064000000.

The previous prime is 978111999979. The next prime is 978112000013. The reversal of 978112000000 is 211879.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31551999985 + ... + 31552000015.

Almost surely, 2^978112000000 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 978112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382213557440).

978112000000 is an abundant number, since it is smaller than the sum of its proper divisors (1786315114880).

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

978112000000 is an frugal number, since it uses more digits than its factorization.

978112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

Adding to 978112000000 its reverse (211879), we get a palindrome (978112211879).

The spelling of 978112000000 in words is "nine hundred seventy-eight billion, one hundred twelve million", and thus it is an aban number.