1220174298225 has 45 divisors (see below), whose sum is σ = 2260276668507. Its totient is φ = 650733114960.

The previous prime is 1220174298191. The next prime is 1220174298247. The reversal of 1220174298225 is 5228924710221.

The square root of 1220174298225 is 1104615.

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

1220174298225 is a `hidden beast` number, since 12 + 201 + 7 + 429 + 8 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 439262747361 + 780911550864 = 662769^2 + 883692^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2^k-1220174298225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49695402 + ... + 49719948.

Almost surely, 2^{1220174298225} is an apocalyptic number.

1220174298225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1220174298225 is the 1104615-th square number.

1220174298225 is the 552308-th centered octagonal number.

It is an amenable number.

1220174298225 is a deficient number, since it is larger than the sum of its proper divisors (1040102370282).

1220174298225 is an frugal number, since it uses more digits than its factorization.

1220174298225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49116 (or 24555 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1220174298225 in words is "one trillion, two hundred twenty billion, one hundred seventy-four million, two hundred ninety-eight thousand, two hundred twenty-five".