122164247772 has 144 divisors (see below), whose sum is σ = 365591116800. Its totient is φ = 33654096000.

The previous prime is 122164247767. The next prime is 122164247813. The reversal of 122164247772 is 277742461221.

122164247772 is a `hidden beast` number, since 1 + 2 + 216 + 424 + 7 + 7 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 5477179 + ... + 5499437.

It is an arithmetic number, because the mean of its divisors is an integer number (2538827200).

Almost surely, 2^122164247772 is an apocalyptic number.

122164247772 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 122164247772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182795558400).

122164247772 is an abundant number, since it is smaller than the sum of its proper divisors (243426869028).

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

122164247772 is a wasteful number, since it uses less digits than its factorization.

122164247772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23056 (or 23051 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The spelling of 122164247772 in words is "one hundred twenty-two billion, one hundred sixty-four million, two hundred forty-seven thousand, seven hundred seventy-two".