13122764028 has 144 divisors (see below), whose sum is σ = 36749696256. Its totient is φ = 3915233280.

The previous prime is 13122764003. The next prime is 13122764033. The reversal of 13122764028 is 82046722131.

It is a happy number.

13122764028 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 7 + 640 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13122763983 and 13122764001.

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, 7871251 + ... + 7872917.

It is an arithmetic number, because the mean of its divisors is an integer number (255206224).

Almost surely, 2^13122764028 is an apocalyptic number.

13122764028 is a gapful number since it is divisible by the number (18) 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 13122764028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18374848128).

13122764028 is an abundant number, since it is smaller than the sum of its proper divisors (23626932228).

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

13122764028 is a wasteful number, since it uses less digits than its factorization.

13122764028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13122764028 in words is "thirteen billion, one hundred twenty-two million, seven hundred sixty-four thousand, twenty-eight".