12121072 has 40 divisors (see below), whose sum is σ = 24596640. Its totient is φ = 5779200.

The previous prime is 12121063. The next prime is 12121079. The reversal of 12121072 is 27012121.

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69978 + ... + 70150.

It is an arithmetic number, because the mean of its divisors is an integer number (614916).

Almost surely, 2^12121072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12298320).

12121072 is an abundant number, since it is smaller than the sum of its proper divisors (12475568).

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

12121072 is a wasteful number, since it uses less digits than its factorization.

12121072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 12121072 is about 3481.5329956788. The cubic root of 12121072 is about 229.7102337040.

Adding to 12121072 its reverse (27012121), we get a palindrome (39133193).

The spelling of 12121072 in words is "twelve million, one hundred twenty-one thousand, seventy-two".