12010581000 has 576 divisors, whose sum is σ = 45880052400. Its totient is φ = 2830080000.

The previous prime is 12010580999. The next prime is 12010581013. The reversal of 12010581000 is 18501021.

It can be written as a sum of positive squares in 8 ways, for example, as 1531783044 + 10478797956 = 39138^2 + 102366^2 .

It is a super-2 number, since 2×12010581000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44648866 + ... + 44649134.

Almost surely, 2^12010581000 is an apocalyptic number.

12010581000 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 12010581000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22940026200).

12010581000 is an abundant number, since it is smaller than the sum of its proper divisors (33869471400).

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

12010581000 is a wasteful number, since it uses less digits than its factorization.

12010581000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The spelling of 12010581000 in words is "twelve billion, ten million, five hundred eighty-one thousand".