1225806120 has 192 divisors, whose sum is σ = 4967015040. Its totient is φ = 254707200.

The previous prime is 1225806119. The next prime is 1225806139. The reversal of 1225806120 is 216085221.

It is a happy number.

1225806120 is a `hidden beast` number, since 1 + 2 + 2 + 580 + 61 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5610 + ... + 49830.

It is an arithmetic number, because the mean of its divisors is an integer number (25869870).

Almost surely, 2^1225806120 is an apocalyptic number.

1225806120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225806120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483507520).

1225806120 is an abundant number, since it is smaller than the sum of its proper divisors (3741208920).

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

1225806120 is a wasteful number, since it uses less digits than its factorization.

1225806120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44256 (or 44249 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1225806120 is about 35011.5141060766. The cubic root of 1225806120 is about 1070.2221334024. Note that the first 3 decimals are identical.

The spelling of 1225806120 in words is "one billion, two hundred twenty-five million, eight hundred six thousand, one hundred twenty".