11941200 has 180 divisors, whose sum is σ = 43175808. Its totient is φ = 3052800.

The previous prime is 11941199. The next prime is 11941201. The reversal of 11941200 is 214911.

It is an interprime number because it is at equal distance from previous prime (11941199) and next prime (11941201).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11941201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111547 + ... + 111653.

Almost surely, 2^11941200 is an apocalyptic number.

11941200 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 11941200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

11941200 is an abundant number, since it is smaller than the sum of its proper divisors (31234608).

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

11941200 is a wasteful number, since it uses less digits than its factorization.

11941200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11941200 is about 3455.6041439957. The cubic root of 11941200 is about 228.5682960880.

The spelling of 11941200 in words is "eleven million, nine hundred forty-one thousand, two hundred".