12091201600 has 63 divisors (see below), whose sum is σ = 29762739687. Its totient is φ = 4834721280.

The previous prime is 12091201579. The next prime is 12091201649. The reversal of 12091201600 is 610219021.

The square root of 12091201600 is 109960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3574126656 + 8517074944 = 59784^2 + 92288^2 .

It is a super-2 number, since 2×12091201600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4397026 + ... + 4399774.

Almost surely, 2^12091201600 is an apocalyptic number.

12091201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12091201600 is the 109960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12091201600

12091201600 is an abundant number, since it is smaller than the sum of its proper divisors (17671538087).

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

12091201600 is an frugal number, since it uses more digits than its factorization.

12091201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 12091201600 in words is "twelve billion, ninety-one million, two hundred one thousand, six hundred".