122111200201120 has 144 divisors (see below), whose sum is σ = 325968106730112. Its totient is φ = 43126898580480.

The previous prime is 122111200201031. The next prime is 122111200201153. The reversal of 122111200201120 is 21102002111221.

It is a super-2 number, since 2×122111200201120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122111200201094 and 122111200201103.

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 23 ways as a sum of consecutive naturals, for example, 97550836 + ... + 98794675.

It is an arithmetic number, because the mean of its divisors is an integer number (2263667407848).

Almost surely, 2^{122111200201120} is an apocalyptic number.

122111200201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111200201120 is an abundant number, since it is smaller than the sum of its proper divisors (203856906528992).

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

122111200201120 is a wasteful number, since it uses less digits than its factorization.

122111200201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196345575 (or 196345554 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122111200201120 its reverse (21102002111221), we get a palindrome (143213202312341).

The spelling of 122111200201120 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred million, two hundred one thousand, one hundred twenty".