1225817472 has 128 divisors (see below), whose sum is σ = 3674937600. Its totient is φ = 358615040.

The previous prime is 1225817449. The next prime is 1225817491. The reversal of 1225817472 is 2747185221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1225817472.

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, 117493 + ... + 127499.

It is an arithmetic number, because the mean of its divisors is an integer number (28710450).

Almost surely, 2^1225817472 is an apocalyptic number.

1225817472 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 1225817472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837468800).

1225817472 is an abundant number, since it is smaller than the sum of its proper divisors (2449120128).

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

1225817472 is a wasteful number, since it uses less digits than its factorization.

1225817472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10064 (or 10052 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 1225817472 is about 35011.6762237971. The cubic root of 1225817472 is about 1070.2254371125.

The spelling of 1225817472 in words is "one billion, two hundred twenty-five million, eight hundred seventeen thousand, four hundred seventy-two".