122111221101120 has 560 divisors, whose sum is σ = 443536351247088. Its totient is φ = 31882426122240.

The previous prime is 122111221101097. The next prime is 122111221101187. The reversal of 122111221101120 is 21101122111221.

It is a happy number.

122111221101120 is a `hidden beast` number, since 1 + 221 + 1 + 1 + 221 + 101 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2709827136 + 122108511273984 = 52056^2 + 11050272^2 .

It is a super-2 number, since 2×122111221101120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122111221101093 and 122111221101102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 258990390 + ... + 259461450.

Almost surely, 2^{122111221101120} is an apocalyptic number.

122111221101120 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 122111221101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221768175623544).

122111221101120 is an abundant number, since it is smaller than the sum of its proper divisors (321425130145968).

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

122111221101120 is a wasteful number, since it uses less digits than its factorization.

122111221101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471300 (or 471281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122111221101120 its reverse (21101122111221), we get a palindrome (143212343212341).

The spelling of 122111221101120 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty".