12121872 has 80 divisors (see below), whose sum is σ = 36664320. Its totient is φ = 3378816.

The previous prime is 12121871. The next prime is 12121873. The reversal of 12121872 is 27812121.

12121872 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12121871) and next prime (12121873).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

12121872 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (12121871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14029 + ... + 14867.

It is an arithmetic number, because the mean of its divisors is an integer number (458304).

Almost surely, 2^12121872 is an apocalyptic number.

12121872 is a gapful number since it is divisible by the number (12) 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 12121872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

12121872 is an abundant number, since it is smaller than the sum of its proper divisors (24542448).

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

12121872 is a wasteful number, since it uses less digits than its factorization.

12121872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 12121872 is about 3481.6478857001. The cubic root of 12121872 is about 229.7152872764.

Adding to 12121872 its reverse (27812121), we get a palindrome (39933993).

The spelling of 12121872 in words is "twelve million, one hundred twenty-one thousand, eight hundred seventy-two".