12623100 has 72 divisors (see below), whose sum is σ = 41747328. Its totient is φ = 2884800.

The previous prime is 12623089. The next prime is 12623189. The reversal of 12623100 is 132621.

12623100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12623100² = 318685307220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12623100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906 + ... + 5105.

It is an arithmetic number, because the mean of its divisors is an integer number (579824).

Almost surely, 2^12623100 is an apocalyptic number.

12623100 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 12623100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20873664).

12623100 is an abundant number, since it is smaller than the sum of its proper divisors (29124228).

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

12623100 is a wasteful number, since it uses less digits than its factorization.

12623100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6035 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12623100 is about 3552.9002237609. The cubic root of 12623100 is about 232.8387938562.

Adding to 12623100 its reverse (132621), we get a palindrome (12755721).

The spelling of 12623100 in words is "twelve million, six hundred twenty-three thousand, one hundred".