12340587000 has 256 divisors, whose sum is σ = 44239104000. Its totient is φ = 2805580800.

The previous prime is 12340586989. The next prime is 12340587019. The reversal of 12340587000 is 78504321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4177524 + ... + 4180476.

It is an arithmetic number, because the mean of its divisors is an integer number (172809000).

Almost surely, 2^12340587000 is an apocalyptic number.

12340587000 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 12340587000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22119552000).

12340587000 is an abundant number, since it is smaller than the sum of its proper divisors (31898517000).

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

12340587000 is a wasteful number, since it uses less digits than its factorization.

12340587000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 12340587000 in words is "twelve billion, three hundred forty million, five hundred eighty-seven thousand".