122820195831696 has 240 divisors, whose sum is σ = 385457555208960. Its totient is φ = 36179492935680.

The previous prime is 122820195831689. The next prime is 122820195831703. The reversal of 122820195831696 is 696138591028221.

122820195831696 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 20 + 19 + 583 + 16 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (122820195831689) and next prime (122820195831703).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63694660 + ... + 65594588.

It is an arithmetic number, because the mean of its divisors is an integer number (1606073146704).

Almost surely, 2^{122820195831696} is an apocalyptic number.

122820195831696 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 122820195831696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192728777604480).

122820195831696 is an abundant number, since it is smaller than the sum of its proper divisors (262637359377264).

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

122820195831696 is a wasteful number, since it uses less digits than its factorization.

122820195831696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901094 (or 1901085 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 122820195831696 in words is "one hundred twenty-two trillion, eight hundred twenty billion, one hundred ninety-five million, eight hundred thirty-one thousand, six hundred ninety-six".