122246229672 has 768 divisors, whose sum is σ = 439371878400. Its totient is φ = 31039303680.

The previous prime is 122246229667. The next prime is 122246229683. The reversal of 122246229672 is 276922642221.

122246229672 is a `hidden beast` number, since 12 + 2 + 2 + 4 + 622 + 9 + 6 + 7 + 2 = 666.

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 191 ways as a sum of consecutive naturals, for example, 362748288 + ... + 362748624.

It is an arithmetic number, because the mean of its divisors is an integer number (572098800).

Almost surely, 2^122246229672 is an apocalyptic number.

122246229672 is a gapful number since it is divisible by the number (12) 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 122246229672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219685939200).

122246229672 is an abundant number, since it is smaller than the sum of its proper divisors (317125648728).

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

122246229672 is a wasteful number, since it uses less digits than its factorization.

122246229672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 452 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 122246229672 in words is "one hundred twenty-two billion, two hundred forty-six million, two hundred twenty-nine thousand, six hundred seventy-two".