122429354112 has 360 divisors, whose sum is σ = 388020096945. Its totient is φ = 37053020160.

The previous prime is 122429354111. The next prime is 122429354119. The reversal of 122429354112 is 211453924221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122429354112 is a `hidden beast` number, since 1 + 2 + 24 + 2 + 93 + 541 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 118264458816 + 4164895296 = 343896^2 + 64536^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247416.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122429354111) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2007038562 + ... + 2007038622.

Almost surely, 2^122429354112 is an apocalyptic number.

122429354112 is a gapful number since it is divisible by the number (12) 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 122429354112

122429354112 is an abundant number, since it is smaller than the sum of its proper divisors (265590742833).

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

122429354112 is an frugal number, since it uses more digits than its factorization.

122429354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 79 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 122429354112 in words is "one hundred twenty-two billion, four hundred twenty-nine million, three hundred fifty-four thousand, one hundred twelve".