122896293408 has 72 divisors (see below), whose sum is σ = 399412960128. Its totient is φ = 35113226112.

The previous prime is 122896293389. The next prime is 122896293433. The reversal of 122896293408 is 804392698221.

122896293408 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 9 + 629 + 3 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30478216 + ... + 30482247.

It is an arithmetic number, because the mean of its divisors is an integer number (5547402224).

Almost surely, 2^122896293408 is an apocalyptic number.

122896293408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122896293408 is an abundant number, since it is smaller than the sum of its proper divisors (276516666720).

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

122896293408 is a wasteful number, since it uses less digits than its factorization.

122896293408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60960486 (or 60960475 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 122896293408 in words is "one hundred twenty-two billion, eight hundred ninety-six million, two hundred ninety-three thousand, four hundred eight".