13226757120 has 264 divisors, whose sum is σ = 46060447680. Its totient is φ = 3509452800.

The previous prime is 13226757101. The next prime is 13226757133. The reversal of 13226757120 is 2175762231.

13226757120 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 67 + 571 + 20 = 666.

It is a super-2 number, since 2×13226757120² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11012520 + ... + 11013720.

Almost surely, 2^13226757120 is an apocalyptic number.

13226757120 is a gapful number since it is divisible by the number (10) 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 13226757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23030223840).

13226757120 is an abundant number, since it is smaller than the sum of its proper divisors (32833690560).

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

13226757120 is a wasteful number, since it uses less digits than its factorization.

13226757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 13226757120 in words is "thirteen billion, two hundred twenty-six million, seven hundred fifty-seven thousand, one hundred twenty".