11971400 has 96 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 3855360.

The previous prime is 11971397. The next prime is 11971409. The reversal of 11971400 is 417911.

11971400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11971409) 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, 23549 + ... + 24051.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 2^11971400 is an apocalyptic number.

11971400 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 11971400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

11971400 is an abundant number, since it is smaller than the sum of its proper divisors (21776440).

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

11971400 is a wasteful number, since it uses less digits than its factorization.

11971400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 11971400 is about 3459.9710981452. The cubic root of 11971400 is about 228.7608214495.

The spelling of 11971400 in words is "eleven million, nine hundred seventy-one thousand, four hundred".