12190174222249 has 21 divisors (see below), whose sum is σ = 13172689755847. Its totient is φ = 11278645741024.

The previous prime is 12190174222231. The next prime is 12190174222271. The reversal of 12190174222249 is 94222247109121.

The square root of 12190174222249 is 3491443.

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

It can be written as a sum of positive squares in only one way, i.e., 9490620069225 + 2699554153024 = 3080685^2 + 1643032^2 .

It is not a de Polignac number, because 12190174222249 - 2²⁹ = 12189637351337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12190174222199 and 12190174222208.

It is not an unprimeable number, because it can be changed into a prime (12190171222249) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 206613122382 + ... + 206613122440.

Almost surely, 2^{12190174222249} is an apocalyptic number.

12190174222249 is the 3491443-rd square number.

12190174222249 is the 1745722-nd centered octagonal number.

It is an amenable number.

12190174222249 is a deficient number, since it is larger than the sum of its proper divisors (982515533598).

12190174222249 is an frugal number, since it uses more digits than its factorization.

12190174222249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 12190174222249 in words is "twelve trillion, one hundred ninety billion, one hundred seventy-four million, two hundred twenty-two thousand, two hundred forty-nine".