11942400 has 120 divisors (see below), whose sum is σ = 39577824. Its totient is φ = 3174400.

The previous prime is 11942383. The next prime is 11942401. The reversal of 11942400 is 424911.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (11942401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38245 + ... + 38555.

Almost surely, 2^11942400 is an apocalyptic number.

11942400 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 11942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19788912).

11942400 is an abundant number, since it is smaller than the sum of its proper divisors (27635424).

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

11942400 is an equidigital number, since it uses as much as digits as its factorization.

11942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11942400 is about 3455.7777706328. Note that the first 5 decimals coincide. The cubic root of 11942400 is about 228.5759522914.

The spelling of 11942400 in words is "eleven million, nine hundred forty-two thousand, four hundred".