12272400 has 180 divisors, whose sum is σ = 48772672. Its totient is φ = 2799360.

The previous prime is 12272387. The next prime is 12272401. The reversal of 12272400 is 427221.

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

It is a super-2 number, since 2×12272400² = 301223603520000, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24957 + ... + 25443.

Almost surely, 2^12272400 is an apocalyptic number.

12272400 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 12272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24386336).

12272400 is an abundant number, since it is smaller than the sum of its proper divisors (36500272).

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

12272400 is a wasteful number, since it uses less digits than its factorization.

12272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 12272400 is about 3503.1985384788. The cubic root of 12272400 is about 230.6622375811.

Adding to 12272400 its reverse (427221), we get a palindrome (12699621).

The spelling of 12272400 in words is "twelve million, two hundred seventy-two thousand, four hundred".