122113200000 has 864 divisors, whose sum is σ = 461532413160. Its totient is φ = 28582400000.

The previous prime is 122113199981. The next prime is 122113200007. The reversal of 122113200000 is 2311221.

122113200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122113200000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4210799986 + ... + 4210800014.

Almost surely, 2^122113200000 is an apocalyptic number.

122113200000 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 122113200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230766206580).

122113200000 is an abundant number, since it is smaller than the sum of its proper divisors (339419213160).

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

122113200000 is an frugal number, since it uses more digits than its factorization.

122113200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 122113200000 its reverse (2311221), we get a palindrome (122115511221).

The spelling of 122113200000 in words is "one hundred twenty-two billion, one hundred thirteen million, two hundred thousand".