12946709569000 has 128 divisors (see below), whose sum is σ = 31527642182400. Its totient is φ = 4970165894400.

The previous prime is 12946709568979. The next prime is 12946709569033. The reversal of 12946709569000 is 96590764921.

It is a super-2 number, since 2×12946709569000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3506359 + ... + 6179641.

It is an arithmetic number, because the mean of its divisors is an integer number (246309704550).

Almost surely, 2^{12946709569000} is an apocalyptic number.

12946709569000 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 12946709569000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15763821091200).

12946709569000 is an abundant number, since it is smaller than the sum of its proper divisors (18580932613400).

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

12946709569000 is a wasteful number, since it uses less digits than its factorization.

12946709569000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673500 (or 2673486 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 12946709569000 in words is "twelve trillion, nine hundred forty-six billion, seven hundred nine million, five hundred sixty-nine thousand".