122001111101100 has 432 divisors, whose sum is σ = 457480934346240. Its totient is φ = 24811498252800.

The previous prime is 122001111101059. The next prime is 122001111101101. The reversal of 122001111101100 is 1101111100221.

It is a super-2 number, since 2×122001111101100² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (122001111101101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 426595 + ... + 15626394.

It is an arithmetic number, because the mean of its divisors is an integer number (1058983644320).

Almost surely, 2^{122001111101100} is an apocalyptic number.

122001111101100 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 122001111101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228740467173120).

122001111101100 is an abundant number, since it is smaller than the sum of its proper divisors (335479823245140).

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

122001111101100 is a wasteful number, since it uses less digits than its factorization.

122001111101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16053078 (or 16053064 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 122001111101100 its reverse (1101111100221), we get a palindrome (123102222201321).

The spelling of 122001111101100 in words is "one hundred twenty-two trillion, one billion, one hundred eleven million, one hundred one thousand, one hundred".