12791100 has 72 divisors (see below), whose sum is σ = 42302848. Its totient is φ = 2923200.

The previous prime is 12791087. The next prime is 12791113. The reversal of 12791100 is 119721.

Added to its reverse (119721) it gives a triangular number (12910821 = T₅₀₈₁).

12791100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12791087) and next prime (12791113).

It is a super-2 number, since 2×12791100² = 327224478420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 946 + ... + 5145.

Almost surely, 2^12791100 is an apocalyptic number.

12791100 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 12791100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21151424).

12791100 is an abundant number, since it is smaller than the sum of its proper divisors (29511748).

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

12791100 is a wasteful number, since it uses less digits than its factorization.

12791100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6115 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 12791100 is about 3576.4647349023. The cubic root of 12791100 is about 233.8671903242.

Adding to 12791100 its reverse (119721), we get a triangular number (12910821 = T₅₀₈₁).

The spelling of 12791100 in words is "twelve million, seven hundred ninety-one thousand, one hundred".