1225348992 has 128 divisors (see below), whose sum is σ = 4133203200. Its totient is φ = 350092800.

The previous prime is 1225348981. The next prime is 1225349009. The reversal of 1225348992 is 2998435221.

1225348992 is a `hidden beast` number, since 1 + 22 + 534 + 8 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134 + ... + 49517.

It is an arithmetic number, because the mean of its divisors is an integer number (32290650).

Almost surely, 2^1225348992 is an apocalyptic number.

1225348992 is a gapful number since it is divisible by the number (12) 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 1225348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066601600).

1225348992 is an abundant number, since it is smaller than the sum of its proper divisors (2907854208).

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

1225348992 is an equidigital number, since it uses as much as digits as its factorization.

1225348992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50681 (or 50663 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1225348992 is about 35004.9852449619. The cubic root of 1225348992 is about 1070.0890810046.

The spelling of 1225348992 in words is "one billion, two hundred twenty-five million, three hundred forty-eight thousand, nine hundred ninety-two".