122113033020000 has 1080 divisors, whose sum is σ = 478300572798048. Its totient is φ = 29520564480000.

The previous prime is 122113033019963. The next prime is 122113033020007. The reversal of 122113033020000 is 20330311221.

122113033020000 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 130 + 330 + 200 + 0 + 0 = 666.

It is a super-2 number, since 2×122113033020000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113033020007) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 7993252362 + ... + 7993267638.

Almost surely, 2^{122113033020000} is an apocalyptic number.

122113033020000 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 122113033020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239150286399024).

122113033020000 is an abundant number, since it is smaller than the sum of its proper divisors (356187539778048).

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

122113033020000 is a wasteful number, since it uses less digits than its factorization.

122113033020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15702 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122113033020000 its reverse (20330311221), we get a palindrome (122133363331221).

The spelling of 122113033020000 in words is "one hundred twenty-two trillion, one hundred thirteen billion, thirty-three million, twenty thousand".