1220103225 has 144 divisors (see below), whose sum is σ = 2506982400. Its totient is φ = 561792000.

The previous prime is 1220103217. The next prime is 1220103233. The reversal of 1220103225 is 5223010221.

1220103225 = 4558² + 4559² + ... + 4615².

It is an interprime number because it is at equal distance from previous prime (1220103217) and next prime (1220103233).

It is not a de Polignac number, because 1220103225 - 2³ = 1220103217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1220103198 and 1220103207.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6387880 + ... + 6388070.

It is an arithmetic number, because the mean of its divisors is an integer number (17409600).

Almost surely, 2^1220103225 is an apocalyptic number.

1220103225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1220103225 is an abundant number, since it is smaller than the sum of its proper divisors (1286879175).

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

1220103225 is a wasteful number, since it uses less digits than its factorization.

1220103225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1220103225 is about 34929.9760234673. The cubic root of 1220103225 is about 1068.5598656327.

Adding to 1220103225 its reverse (5223010221), we get a palindrome (6443113446).

The spelling of 1220103225 in words is "one billion, two hundred twenty million, one hundred three thousand, two hundred twenty-five".