122244078096 has 240 divisors, whose sum is σ = 409091316480. Its totient is φ = 34848334080.

The previous prime is 122244078083. The next prime is 122244078097. The reversal of 122244078096 is 690870442221.

122244078096 is a `hidden beast` number, since 12 + 224 + 407 + 8 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×122244078096² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122244078097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9752185 + ... + 9764711.

It is an arithmetic number, because the mean of its divisors is an integer number (1704547152).

Almost surely, 2^122244078096 is an apocalyptic number.

122244078096 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 122244078096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204545658240).

122244078096 is an abundant number, since it is smaller than the sum of its proper divisors (286847238384).

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

122244078096 is a wasteful number, since it uses less digits than its factorization.

122244078096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13019 (or 13000 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 122244078096 in words is "one hundred twenty-two billion, two hundred forty-four million, seventy-eight thousand, ninety-six".