111225287395600 has 405 divisors, whose sum is σ = 315583524495183. Its totient is φ = 37561844544000.

The previous prime is 111225287395477. The next prime is 111225287395603. The reversal of 111225287395600 is 6593782522111.

The square root of 111225287395600 is 10546340.

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 41928295696 + 111183359099904 = 204764^2 + 10544352^2 .

It is not an unprimeable number, because it can be changed into a prime (111225287395603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 104830619070 + ... + 104830620130.

Almost surely, 2^{111225287395600} is an apocalyptic number.

111225287395600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111225287395600 is the 10546340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111225287395600

111225287395600 is an abundant number, since it is smaller than the sum of its proper divisors (204358237099583).

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

111225287395600 is an frugal number, since it uses more digits than its factorization.

111225287395600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 111225287395600 in words is "one hundred eleven trillion, two hundred twenty-five billion, two hundred eighty-seven million, three hundred ninety-five thousand, six hundred".