1121512770225 has 81 divisors (see below), whose sum is σ = 2134380625923. Its totient is φ = 562819875840.

The previous prime is 1121512770223. The next prime is 1121512770251. The reversal of 1121512770225 is 5220772151211.

The square root of 1121512770225 is 1059015.

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

1121512770225 is a `hidden beast` number, since 1 + 12 + 151 + 277 + 0 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1045528745121 + 75984025104 = 1022511^2 + 275652^2 .

It is not a de Polignac number, because 1121512770225 - 2¹ = 1121512770223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1121512770225.

It is not an unprimeable number, because it can be changed into a prime (1121512770223) 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, 270046749 + ... + 270050901.

Almost surely, 2^{1121512770225} is an apocalyptic number.

1121512770225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1121512770225 is the 1059015-th square number.

1121512770225 is the 529508-th centered octagonal number.

It is an amenable number.

1121512770225 is a deficient number, since it is larger than the sum of its proper divisors (1012867855698).

1121512770225 is an frugal number, since it uses more digits than its factorization.

1121512770225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

Multiplying 1121512770225 by its sum of digits (36), we get a square (40374459728100 = 6354090²).

The spelling of 1121512770225 in words is "one trillion, one hundred twenty-one billion, five hundred twelve million, seven hundred seventy thousand, two hundred twenty-five".