122147434152 has 96 divisors (see below), whose sum is σ = 343206045000. Its totient is φ = 39198942720.

The previous prime is 122147434127. The next prime is 122147434163. The reversal of 122147434152 is 251434741221.

122147434152 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 474 + 34 + 152 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77443097796 + 44704336356 = 278286^2 + 211434^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644902 + ... + 812522.

Almost surely, 2^122147434152 is an apocalyptic number.

122147434152 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 122147434152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171603022500).

122147434152 is an abundant number, since it is smaller than the sum of its proper divisors (221058610848).

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

122147434152 is a wasteful number, since it uses less digits than its factorization.

122147434152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168011 (or 168004 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The spelling of 122147434152 in words is "one hundred twenty-two billion, one hundred forty-seven million, four hundred thirty-four thousand, one hundred fifty-two".