12098849155600 has 45 divisors (see below), whose sum is σ = 29067652231527. Its totient is φ = 4839511835520.

The previous prime is 12098849155537. The next prime is 12098849155639. The reversal of 12098849155600 is 655194889021.

The square root of 12098849155600 is 3478340.

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 562338011664 + 11536511143936 = 749892^2 + 3396544^2 .

It is a super-2 number, since 2×12098849155600² (a number of 27 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 (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69479842 + ... + 69653758.

Almost surely, 2^{12098849155600} is an apocalyptic number.

12098849155600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12098849155600 is the 3478340-th square number.

It is an amenable number.

12098849155600 is an abundant number, since it is smaller than the sum of its proper divisors (16968803075927).

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

12098849155600 is an frugal number, since it uses more digits than its factorization.

12098849155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347852 (or 173924 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 58.

The spelling of 12098849155600 in words is "twelve trillion, ninety-eight billion, eight hundred forty-nine million, one hundred fifty-five thousand, six hundred".