12091510971225 has 675 divisors, whose sum is σ = 27912890626863. Its totient is φ = 5173532441280.

The previous prime is 12091510971193. The next prime is 12091510971247. The reversal of 12091510971225 is 52217901519021.

The square root of 12091510971225 is 3477285.

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

12091510971225 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 1 + 510 + 9 + 7 + 122 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4352943949641 + 7738567021584 = 2086371^2 + 2781828^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is not a de Polignac number, because 12091510971225 - 2⁵ = 12091510971193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 145680855034 + ... + 145680855116.

Almost surely, 2^{12091510971225} is an apocalyptic number.

12091510971225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12091510971225 is the 3477285-th square number.

12091510971225 is the 1738643-rd centered octagonal number.

It is an amenable number.

12091510971225 is an abundant number, since it is smaller than the sum of its proper divisors (15821379655638).

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

12091510971225 is an frugal number, since it uses more digits than its factorization.

12091510971225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 45.

The spelling of 12091510971225 in words is "twelve trillion, ninety-one billion, five hundred ten million, nine hundred seventy-one thousand, two hundred twenty-five".