122113013000 has 256 divisors, whose sum is σ = 317805396480. Its totient is φ = 43545600000.

The previous prime is 122113012993. The next prime is 122113013003. The reversal of 122113013000 is 310311221.

It is not an unprimeable number, because it can be changed into a prime (122113013003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193522685 + ... + 193523315.

It is an arithmetic number, because the mean of its divisors is an integer number (1241427330).

Almost surely, 2^122113013000 is an apocalyptic number.

122113013000 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 122113013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158902698240).

122113013000 is an abundant number, since it is smaller than the sum of its proper divisors (195692383480).

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

122113013000 is a wasteful number, since it uses less digits than its factorization.

122113013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 122113013000 its reverse (310311221), we get a palindrome (122423324221).

The spelling of 122113013000 in words is "one hundred twenty-two billion, one hundred thirteen million, thirteen thousand".