122294134656 has 96 divisors (see below), whose sum is σ = 352202705400. Its totient is φ = 40731282432.

The previous prime is 122294134607. The next prime is 122294134661. The reversal of 122294134656 is 656431492221.

122294134656 is a `hidden beast` number, since 1 + 2 + 229 + 413 + 4 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1382115 + ... + 1467933.

Almost surely, 2^122294134656 is an apocalyptic number.

122294134656 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 122294134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176101352700).

122294134656 is an abundant number, since it is smaller than the sum of its proper divisors (229908570744).

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

122294134656 is a wasteful number, since it uses less digits than its factorization.

122294134656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87076 (or 87061 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 122294134656 in words is "one hundred twenty-two billion, two hundred ninety-four million, one hundred thirty-four thousand, six hundred fifty-six".