122111001101100 has 144 divisors (see below), whose sum is σ = 398717300459520. Its totient is φ = 28581885292800.

The previous prime is 122111001101087. The next prime is 122111001101153. The reversal of 122111001101100 is 1101100111221.

It is a super-2 number, since 2×122111001101100² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637892812 + ... + 638084211.

It is an arithmetic number, because the mean of its divisors is an integer number (2768870142080).

Almost surely, 2^{122111001101100} is an apocalyptic number.

122111001101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111001101100 is an abundant number, since it is smaller than the sum of its proper divisors (276606299358420).

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

122111001101100 is a wasteful number, since it uses less digits than its factorization.

122111001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275977080 (or 1275977073 counting only the distinct ones).

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

Adding to 122111001101100 its reverse (1101100111221), we get a palindrome (123212101212321).

The spelling of 122111001101100 in words is "one hundred twenty-two trillion, one hundred eleven billion, one million, one hundred one thousand, one hundred".