12598100 has 36 divisors (see below), whose sum is σ = 27865404. Its totient is φ = 4942080.

The previous prime is 12598087. The next prime is 12598127. The reversal of 12598100 is 189521.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 80656 + 12517444 = 284^2 + 3538^2 .

It is a super-2 number, since 2×12598100² = 317424247220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12598100.

It is a congruent number.

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, 4112 + ... + 6488.

It is an arithmetic number, because the mean of its divisors is an integer number (774039).

Almost surely, 2^12598100 is an apocalyptic number.

12598100 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 12598100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932702).

12598100 is an abundant number, since it is smaller than the sum of its proper divisors (15267304).

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

12598100 is a wasteful number, since it uses less digits than its factorization.

12598100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 12598100 is about 3549.3802275890. The cubic root of 12598100 is about 232.6849801633.

The spelling of 12598100 in words is "twelve million, five hundred ninety-eight thousand, one hundred".