12142670400 has 378 divisors, whose sum is σ = 50207025570. Its totient is φ = 2775306240.

The previous prime is 12142670357. The next prime is 12142670453. The reversal of 12142670400 is 407624121.

It can be written as a sum of positive squares in 3 ways, for example, as 618218496 + 11524451904 = 24864^2 + 107352^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 696996 + ... + 714204.

Almost surely, 2^12142670400 is an apocalyptic number.

12142670400 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 12142670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25103512785).

12142670400 is an abundant number, since it is smaller than the sum of its proper divisors (38064355170).

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

12142670400 is a wasteful number, since it uses less digits than its factorization.

12142670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17251 (or 17226 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12142670400 in words is "twelve billion, one hundred forty-two million, six hundred seventy thousand, four hundred".