122113133010000 has 800 divisors, whose sum is σ = 494291853475200. Its totient is φ = 28582364160000.

The previous prime is 122113133009983. The next prime is 122113133010019. The reversal of 122113133010000 is 10331311221.

122113133010000 is a `hidden beast` number, since 1 + 221 + 1 + 313 + 30 + 100 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 85421112 + ... + 86838888.

It is an arithmetic number, because the mean of its divisors is an integer number (617864816844).

Almost surely, 2^{122113133010000} is an apocalyptic number.

122113133010000 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 122113133010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247145926737600).

122113133010000 is an abundant number, since it is smaller than the sum of its proper divisors (372178720465200).

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

122113133010000 is a wasteful number, since it uses less digits than its factorization.

122113133010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417854 (or 1417827 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 122113133010000 its reverse (10331311221), we get a palindrome (122123464321221).

The spelling of 122113133010000 in words is "one hundred twenty-two trillion, one hundred thirteen billion, one hundred thirty-three million, ten thousand".