123777272192 has 128 divisors (see below), whose sum is σ = 291738931200. Its totient is φ = 51189073920.

The previous prime is 123777272189. The next prime is 123777272209. The reversal of 123777272192 is 291272777321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×123777272192² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123777272192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9965378 + ... + 9977790.

It is an arithmetic number, because the mean of its divisors is an integer number (2279210400).

Almost surely, 2^123777272192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123777272192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145869465600).

123777272192 is an abundant number, since it is smaller than the sum of its proper divisors (167961659008).

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

123777272192 is a wasteful number, since it uses less digits than its factorization.

123777272192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12824 (or 12812 counting only the distinct ones).

The product of its digits is 1037232, while the sum is 50.

The spelling of 123777272192 in words is "one hundred twenty-three billion, seven hundred seventy-seven million, two hundred seventy-two thousand, one hundred ninety-two".