122037344194896 has 720 divisors, whose sum is σ = 392454200698560. Its totient is φ = 36092736345600.

The previous prime is 122037344194847. The next prime is 122037344194903. The reversal of 122037344194896 is 698491443730221.

122037344194896 is a `hidden beast` number, since 1 + 2 + 20 + 3 + 7 + 3 + 441 + 94 + 89 + 6 = 666.

It is a super-2 number, since 2×122037344194896² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 213725646291 + ... + 213725646861.

It is an arithmetic number, because the mean of its divisors is an integer number (545075278748).

Almost surely, 2^{122037344194896} is an apocalyptic number.

122037344194896 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 122037344194896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196227100349280).

122037344194896 is an abundant number, since it is smaller than the sum of its proper divisors (270416856503664).

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

122037344194896 is a wasteful number, since it uses less digits than its factorization.

122037344194896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 122037344194896 in words is "one hundred twenty-two trillion, thirty-seven billion, three hundred forty-four million, one hundred ninety-four thousand, eight hundred ninety-six".