122130013110000 has 1200 divisors, whose sum is σ = 479925803782656. Its totient is φ = 26196648192000.

The previous prime is 122130013109971. The next prime is 122130013110059. The reversal of 122130013110000 is 11310031221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5887759629 + ... + 5887780371.

Almost surely, 2^{122130013110000} is an apocalyptic number.

122130013110000 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 122130013110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239962901891328).

122130013110000 is an abundant number, since it is smaller than the sum of its proper divisors (357795790672656).

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

122130013110000 is a wasteful number, since it uses less digits than its factorization.

122130013110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20880 (or 20836 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 122130013110000 its reverse (11310031221), we get a palindrome (122141323141221).

The spelling of 122130013110000 in words is "one hundred twenty-two trillion, one hundred thirty billion, thirteen million, one hundred ten thousand".