11944100 has 72 divisors (see below), whose sum is σ = 30081408. Its totient is φ = 4032000.

The previous prime is 11944099. The next prime is 11944109. The reversal of 11944100 is 144911.

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

It is not an unprimeable number, because it can be changed into a prime (11944109) 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, 79025 + ... + 79175.

Almost surely, 2^11944100 is an apocalyptic number.

11944100 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 11944100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15040704).

11944100 is an abundant number, since it is smaller than the sum of its proper divisors (18137308).

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

11944100 is a wasteful number, since it uses less digits than its factorization.

11944100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11944100 is about 3456.0237267704. The cubic root of 11944100 is about 228.5867977017.

The spelling of 11944100 in words is "eleven million, nine hundred forty-four thousand, one hundred".