122312010000 has 400 divisors, whose sum is σ = 409901139648. Its totient is φ = 31392000000.

The previous prime is 122312009999. The next prime is 122312010053. The reversal of 122312010000 is 10213221.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 79 ways as a sum of consecutive naturals, for example, 112109455 + ... + 112110545.

Almost surely, 2^122312010000 is an apocalyptic number.

122312010000 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 122312010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204950569824).

122312010000 is an abundant number, since it is smaller than the sum of its proper divisors (287589129648).

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

122312010000 is a wasteful number, since it uses less digits than its factorization.

122312010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122312010000 its reverse (10213221), we get a palindrome (122322223221).

The spelling of 122312010000 in words is "one hundred twenty-two billion, three hundred twelve million, ten thousand".