122013312330000 has 800 divisors, whose sum is σ = 497871818219776. Its totient is φ = 25047677952000.

The previous prime is 122013312329971. The next prime is 122013312330017. The reversal of 122013312330000 is 33213310221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 100406034 + ... + 101613966.

Almost surely, 2^{122013312330000} is an apocalyptic number.

122013312330000 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 122013312330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248935909109888).

122013312330000 is an abundant number, since it is smaller than the sum of its proper divisors (375858505889776).

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

122013312330000 is a wasteful number, since it uses less digits than its factorization.

122013312330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208021 (or 1208000 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122013312330000 its reverse (33213310221), we get a palindrome (122046525640221).

The spelling of 122013312330000 in words is "one hundred twenty-two trillion, thirteen billion, three hundred twelve million, three hundred thirty thousand".