122192414496 has 288 divisors, whose sum is σ = 378763257600. Its totient is φ = 37221949440.

The previous prime is 122192414467. The next prime is 122192414497. The reversal of 122192414496 is 694414291221.

122192414496 is a `hidden beast` number, since 1 + 2 + 2 + 192 + 414 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122192414497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23591235 + ... + 23596413.

It is an arithmetic number, because the mean of its divisors is an integer number (1315150200).

Almost surely, 2^122192414496 is an apocalyptic number.

122192414496 is a gapful number since it is divisible by the number (16) 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 122192414496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189381628800).

122192414496 is an abundant number, since it is smaller than the sum of its proper divisors (256570843104).

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

122192414496 is a wasteful number, since it uses less digits than its factorization.

122192414496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5341 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 122192414496 in words is "one hundred twenty-two billion, one hundred ninety-two million, four hundred fourteen thousand, four hundred ninety-six".