122421201120 has 192 divisors, whose sum is σ = 429140255040. Its totient is φ = 32594909184.

The previous prime is 122421201113. The next prime is 122421201143. The reversal of 122421201120 is 21102124221.

122421201120 is a `hidden beast` number, since 1 + 22 + 421 + 201 + 1 + 20 = 666.

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 = 122421201093 and 122421201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2799262 + ... + 2842658.

It is an arithmetic number, because the mean of its divisors is an integer number (2235105495).

Almost surely, 2^122421201120 is an apocalyptic number.

122421201120 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 122421201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214570127520).

122421201120 is an abundant number, since it is smaller than the sum of its proper divisors (306719053920).

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

122421201120 is a wasteful number, since it uses less digits than its factorization.

122421201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44074 (or 44060 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122421201120 its reverse (21102124221), we get a palindrome (143523325341).

The spelling of 122421201120 in words is "one hundred twenty-two billion, four hundred twenty-one million, two hundred one thousand, one hundred twenty".