122992641216 has 448 divisors, whose sum is σ = 393025944960. Its totient is φ = 37571788800.

The previous prime is 122992641209. The next prime is 122992641251. The reversal of 122992641216 is 612146299221.

122992641216 is a `hidden beast` number, since 1 + 229 + 9 + 2 + 6 + 412 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306714616 + ... + 306715016.

Almost surely, 2^122992641216 is an apocalyptic number.

122992641216 is a gapful number since it is divisible by the number (16) 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 122992641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196512972480).

122992641216 is an abundant number, since it is smaller than the sum of its proper divisors (270033303744).

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

122992641216 is a wasteful number, since it uses less digits than its factorization.

122992641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 673 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 122992641216 in words is "one hundred twenty-two billion, nine hundred ninety-two million, six hundred forty-one thousand, two hundred sixteen".