122301123120 has 480 divisors, whose sum is σ = 475056451584. Its totient is φ = 27914803200.

The previous prime is 122301123097. The next prime is 122301123127. The reversal of 122301123120 is 21321103221.

122301123120 is a `hidden beast` number, since 12 + 230 + 112 + 312 + 0 = 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 = 122301123093 and 122301123102.

It is not an unprimeable number, because it can be changed into a prime (122301123127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9077509 + ... + 9090971.

Almost surely, 2^122301123120 is an apocalyptic number.

122301123120 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 122301123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237528225792).

122301123120 is an abundant number, since it is smaller than the sum of its proper divisors (352755328464).

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

122301123120 is a wasteful number, since it uses less digits than its factorization.

122301123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13561 (or 13552 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122301123120 its reverse (21321103221), we get a palindrome (143622226341).

The spelling of 122301123120 in words is "one hundred twenty-two billion, three hundred one million, one hundred twenty-three thousand, one hundred twenty".