1224100512225 has 72 divisors (see below), whose sum is σ = 2204307363960. Its totient is φ = 649345904640.

The previous prime is 1224100512163. The next prime is 1224100512241. The reversal of 1224100512225 is 5222150014221.

1224100512225 is a `hidden beast` number, since 1 + 2 + 24 + 100 + 512 + 2 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1201154624784 + 22945887441 = 1095972^2 + 151479^2 .

It is not a de Polignac number, because 1224100512225 - 2⁹ = 1224100511713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37085329 + ... + 37118321.

It is an arithmetic number, because the mean of its divisors is an integer number (30615380055).

Almost surely, 2^{1224100512225} is an apocalyptic number.

1224100512225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1224100512225 is a deficient number, since it is larger than the sum of its proper divisors (980206851735).

1224100512225 is a wasteful number, since it uses less digits than its factorization.

1224100512225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33891 (or 33883 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1224100512225 its reverse (5222150014221), we get a palindrome (6446250526446).

The spelling of 1224100512225 in words is "one trillion, two hundred twenty-four billion, one hundred million, five hundred twelve thousand, two hundred twenty-five".