122994134392896 has 280 divisors, whose sum is σ = 392663096450240. Its totient is φ = 37842004528128.

The previous prime is 122994134392847. The next prime is 122994134392901. The reversal of 122994134392896 is 698293431499221.

122994134392896 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 9 + 413 + 43 + 92 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1314568965 + ... + 1314662523.

It is an arithmetic number, because the mean of its divisors is an integer number (1402368201608).

Almost surely, 2^{122994134392896} is an apocalyptic number.

122994134392896 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 122994134392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196331548225120).

122994134392896 is an abundant number, since it is smaller than the sum of its proper divisors (269668962057344).

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

122994134392896 is a wasteful number, since it uses less digits than its factorization.

122994134392896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113103 (or 113084 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 122994134392896 in words is "one hundred twenty-two trillion, nine hundred ninety-four billion, one hundred thirty-four million, three hundred ninety-two thousand, eight hundred ninety-six".