12534260100 has 144 divisors (see below), whose sum is σ = 38235052800. Its totient is φ = 3161531520.

The previous prime is 12534260083. The next prime is 12534260111. The reversal of 12534260100 is 106243521.

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, 4712571 + ... + 4715229.

It is an arithmetic number, because the mean of its divisors is an integer number (265521200).

Almost surely, 2^12534260100 is an apocalyptic number.

12534260100 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 12534260100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117526400).

12534260100 is an abundant number, since it is smaller than the sum of its proper divisors (25700792700).

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

12534260100 is a wasteful number, since it uses less digits than its factorization.

12534260100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 12534260100 in words is "twelve billion, five hundred thirty-four million, two hundred sixty thousand, one hundred".