122111011201120 has 48 divisors (see below), whose sum is σ = 288507161003040. Its totient is φ = 48841035669504.

The previous prime is 122111011201001. The next prime is 122111011201121. The reversal of 122111011201120 is 21102110111221.

It is a super-2 number, since 2×122111011201120² (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 = 122111011201094 and 122111011201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111011201121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23991105 + ... + 28632064.

It is an arithmetic number, because the mean of its divisors is an integer number (6010565854230).

Almost surely, 2^{122111011201120} is an apocalyptic number.

122111011201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111011201120 is an abundant number, since it is smaller than the sum of its proper divisors (166396149801920).

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

122111011201120 is a wasteful number, since it uses less digits than its factorization.

122111011201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52637687 (or 52637679 counting only the distinct ones).

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

Adding to 122111011201120 its reverse (21102110111221), we get a palindrome (143213121312341).

The spelling of 122111011201120 in words is "one hundred twenty-two trillion, one hundred eleven billion, eleven million, two hundred one thousand, one hundred twenty".