12642042800 has 60 divisors (see below), whose sum is σ = 30460371096. Its totient is φ = 5042188800.

The previous prime is 12642042781. The next prime is 12642042817. The reversal of 12642042800 is 824024621.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93260 + ... + 184340.

Almost surely, 2^12642042800 is an apocalyptic number.

12642042800 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 12642042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15230185548).

12642042800 is an abundant number, since it is smaller than the sum of its proper divisors (17818328296).

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

12642042800 is a wasteful number, since it uses less digits than its factorization.

12642042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91446 (or 91435 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The spelling of 12642042800 in words is "twelve billion, six hundred forty-two million, forty-two thousand, eight hundred".