11971100 has 36 divisors (see below), whose sum is σ = 26430600. Its totient is φ = 4704960.

The previous prime is 11971087. The next prime is 11971117. The reversal of 11971100 is 117911.

11971100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4886 + ... + 6914.

Almost surely, 2^11971100 is an apocalyptic number.

11971100 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 11971100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13215300).

11971100 is an abundant number, since it is smaller than the sum of its proper divisors (14459500).

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

11971100 is a wasteful number, since it uses less digits than its factorization.

11971100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 20.

The square root of 11971100 is about 3459.9277449103. The cubic root of 11971100 is about 228.7589105391.

The spelling of 11971100 in words is "eleven million, nine hundred seventy-one thousand, one hundred".