12574242000 has 240 divisors, whose sum is σ = 44540720640. Its totient is φ = 3305568000.

The previous prime is 12574241983. The next prime is 12574242011. The reversal of 12574242000 is 24247521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12574242000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273081 + ... + 1282919.

It is an arithmetic number, because the mean of its divisors is an integer number (185586336).

Almost surely, 2^12574242000 is an apocalyptic number.

12574242000 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 12574242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22270360320).

12574242000 is an abundant number, since it is smaller than the sum of its proper divisors (31966478640).

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

12574242000 is a wasteful number, since it uses less digits than its factorization.

12574242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9939 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 12574242000 its reverse (24247521), we get a palindrome (12598489521).

The spelling of 12574242000 in words is "twelve billion, five hundred seventy-four million, two hundred forty-two thousand".