12181019760 has 900 divisors, whose sum is σ = 53525299608. Its totient is φ = 2558739456.

The previous prime is 12181019759. The next prime is 12181019771. The reversal of 12181019760 is 6791018121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53660767 + ... + 53660993.

Almost surely, 2^12181019760 is an apocalyptic number.

12181019760 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 12181019760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26762649804).

12181019760 is an abundant number, since it is smaller than the sum of its proper divisors (41344279848).

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

12181019760 is a wasteful number, since it uses less digits than its factorization.

12181019760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 12181019760 in words is "twelve billion, one hundred eighty-one million, nineteen thousand, seven hundred sixty".