122992506000 has 1440 divisors, whose sum is σ = 554340853248. Its totient is φ = 25698124800.

The previous prime is 122992505927. The next prime is 122992506053. The reversal of 122992506000 is 605299221.

It is a happy number.

122992506000 is a `hidden beast` number, since 1 + 2 + 29 + 9 + 25 + 0 + 600 + 0 = 666.

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

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 287 ways as a sum of consecutive naturals, for example, 1194101949 + ... + 1194102051.

Almost surely, 2^122992506000 is an apocalyptic number.

122992506000 is a gapful number since it is divisible by the number (10) 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 122992506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277170426624).

122992506000 is an abundant number, since it is smaller than the sum of its proper divisors (431348347248).

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

122992506000 is an equidigital number, since it uses as much as digits as its factorization.

122992506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 122992506000 in words is "one hundred twenty-two billion, nine hundred ninety-two million, five hundred six thousand".