12137201 has 8 divisors (see below), whose sum is σ = 12897864. Its totient is φ = 11381760.

The previous prime is 12137183. The next prime is 12137227. The reversal of 12137201 is 10273121.

It can be written as a sum of positive squares in 4 ways, for example, as 678976 + 11458225 = 824^2 + 3385^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12137201 is a prime.

It is a super-2 number, since 2×12137201² = 294623296228802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12137201.

It is not an unprimeable number, because it can be changed into a prime (12137291) 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 7 ways as a sum of consecutive naturals, for example, 4181 + ... + 6461.

It is an arithmetic number, because the mean of its divisors is an integer number (1612233).

Almost surely, 2^12137201 is an apocalyptic number.

It is an amenable number.

12137201 is a deficient number, since it is larger than the sum of its proper divisors (760663).

12137201 is a wasteful number, since it uses less digits than its factorization.

12137201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2611.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 12137201 is about 3483.8485902806. The cubic root of 12137201 is about 229.8120771221.

The spelling of 12137201 in words is "twelve million, one hundred thirty-seven thousand, two hundred one".