12788100 has 108 divisors (see below), whose sum is σ = 43206436. Its totient is φ = 3144960.

The previous prime is 12788099. The next prime is 12788117. The reversal of 12788100 is 188721.

It can be written as a sum of positive squares in 6 ways, for example, as 324 + 12787776 = 18^2 + 3576^2 .

It is a super-2 number, since 2×12788100² = 327071003220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11154 + ... + 12246.

Almost surely, 2^12788100 is an apocalyptic number.

12788100 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 12788100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21603218).

12788100 is an abundant number, since it is smaller than the sum of its proper divisors (30418336).

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

12788100 is a wasteful number, since it uses less digits than its factorization.

12788100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 12788100 is about 3576.0453017265. The cubic root of 12788100 is about 233.8489053076.

The spelling of 12788100 in words is "twelve million, seven hundred eighty-eight thousand, one hundred".