12219561931201 has 9 divisors (see below), whose sum is σ = 12558879195849. Its totient is φ = 11889177657264.

The previous prime is 12219561931117. The next prime is 12219561931223. The reversal of 12219561931201 is 10213916591221.

The square root of 12219561931201 is 3495649.

It is a perfect power (a square), and thus also a powerful number.

12219561931201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9210308452801 + 3009253478400 = 3034849^2 + 1734720^2 .

It is not a de Polignac number, because 12219561931201 - 2⁴¹ = 10020538675649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12219561931261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 129291775 + ... + 129386251.

It is an arithmetic number, because the mean of its divisors is an integer number (1395431021761).

Almost surely, 2^{12219561931201} is an apocalyptic number.

12219561931201 is the 3495649-th square number.

12219561931201 is the 1747825-th centered octagonal number.

It is an amenable number.

12219561931201 is a deficient number, since it is larger than the sum of its proper divisors (339317264648).

12219561931201 is an frugal number, since it uses more digits than its factorization.

12219561931201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189028 (or 94514 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 43.

The spelling of 12219561931201 in words is "twelve trillion, two hundred nineteen billion, five hundred sixty-one million, nine hundred thirty-one thousand, two hundred one".