12791900 has 72 divisors (see below), whose sum is σ = 31404240. Its totient is φ = 4480000.

The previous prime is 12791893. The next prime is 12791951. The reversal of 12791900 is 919721.

12791900 = T₂₄ + T₂₅ + ... + T₄₂₄.

It is a super-2 number, since 2×12791900² = 327265411220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 31700 + ... + 32100.

It is an arithmetic number, because the mean of its divisors is an integer number (436170).

Almost surely, 2^12791900 is an apocalyptic number.

12791900 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 12791900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702120).

12791900 is an abundant number, since it is smaller than the sum of its proper divisors (18612340).

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

12791900 is a wasteful number, since it uses less digits than its factorization.

12791900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 12791900 is about 3576.5765754419. The cubic root of 12791900 is about 233.8720658458.

The spelling of 12791900 in words is "twelve million, seven hundred ninety-one thousand, nine hundred".