12642000020 has 48 divisors (see below), whose sum is σ = 30272166288. Its totient is φ = 4393236480.

The previous prime is 12642000013. The next prime is 12642000023. The reversal of 12642000020 is 2000024621.

It can be written as a sum of positive squares in 8 ways, for example, as 2764025476 + 9877974544 = 52574^2 + 99388^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642000023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425671 + ... + 1434510.

It is an arithmetic number, because the mean of its divisors is an integer number (630670131).

Almost surely, 2^12642000020 is an apocalyptic number.

12642000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12642000020 is an abundant number, since it is smaller than the sum of its proper divisors (17630166268).

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

12642000020 is a wasteful number, since it uses less digits than its factorization.

12642000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860220 (or 2860218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12642000020 its reverse (2000024621), we get a palindrome (14642024641).

The spelling of 12642000020 in words is "twelve billion, six hundred forty-two million, twenty", and thus it is an aban number.