12861100 has 72 divisors (see below), whose sum is σ = 33608960. Its totient is φ = 4173120.

The previous prime is 12861097. The next prime is 12861103. The reversal of 12861100 is 116821.

12861100 is digitally balanced in base 2 and base 8, because in such bases 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 (12861097) and next prime (12861103).

It is a Harshad number since it is a multiple of its sum of digits (19).

12861100 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12861103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12817 + ... + 13783.

Almost surely, 2^12861100 is an apocalyptic number.

12861100 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 12861100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16804480).

12861100 is an abundant number, since it is smaller than the sum of its proper divisors (20747860).

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

12861100 is a wasteful number, since it uses less digits than its factorization.

12861100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 12861100 is about 3586.2375827600. The cubic root of 12861100 is about 234.2930314844.

Adding to 12861100 its reverse (116821), we get a palindrome (12977921).

The spelling of 12861100 in words is "twelve million, eight hundred sixty-one thousand, one hundred".