12181829760 has 160 divisors (see below), whose sum is σ = 43503698700. Its totient is φ = 3248474112.

The previous prime is 12181829711. The next prime is 12181829797. The reversal of 12181829760 is 6792818121.

It can be written as a sum of positive squares in 2 ways, for example, as 12151093824 + 30735936 = 110232^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65655 + ... + 169334.

Almost surely, 2^12181829760 is an apocalyptic number.

12181829760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12181829760 is an abundant number, since it is smaller than the sum of its proper divisors (31321868940).

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

12181829760 is an equidigital number, since it uses as much as digits as its factorization.

12181829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235020 (or 234999 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 12181829760 in words is "twelve billion, one hundred eighty-one million, eight hundred twenty-nine thousand, seven hundred sixty".