656222112000 has 2160 divisors, whose sum is σ = 3007195861488. Its totient is φ = 136559001600.

The previous prime is 656222111989. The next prime is 656222112017. The reversal of 656222112000 is 211222656.

656222112000 is a `hidden beast` number, since 6 + 5 + 622 + 2 + 11 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 315987888384 + 340234223616 = 562128^2 + 583296^2 .

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, 8989343964 + ... + 8989344036.

Almost surely, 2^656222112000 is an apocalyptic number.

656222112000 is a gapful number since it is divisible by the number (60) 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 656222112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503597930744).

656222112000 is an abundant number, since it is smaller than the sum of its proper divisors (2350973749488).

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

656222112000 is an equidigital number, since it uses as much as digits as its factorization.

656222112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 656222112000 its reverse (211222656), we get a palindrome (656433334656).

The spelling of 656222112000 in words is "six hundred fifty-six billion, two hundred twenty-two million, one hundred twelve thousand".