27121200 has 120 divisors (see below), whose sum is σ = 88150608. Its totient is φ = 7127040.

The previous prime is 27121181. The next prime is 27121201. The reversal of 27121200 is 212172.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 27121200.

It is not an unprimeable number, because it can be changed into a prime (27121201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116284 + ... + 116516.

Almost surely, 2^27121200 is an apocalyptic number.

27121200 is a gapful number since it is divisible by the number (20) 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 27121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44075304).

27121200 is an abundant number, since it is smaller than the sum of its proper divisors (61029408).

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

27121200 is a wasteful number, since it uses less digits than its factorization.

27121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 27121200 is about 5207.8018395480. The cubic root of 27121200 is about 300.4482188881.

Adding to 27121200 its reverse (212172), we get a palindrome (27333372).

The spelling of 27121200 in words is "twenty-seven million, one hundred twenty-one thousand, two hundred".