1221825360 has 320 divisors, whose sum is σ = 4628275200. Its totient is φ = 260284416.

The previous prime is 1221825337. The next prime is 1221825421. The reversal of 1221825360 is 635281221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5112121 + ... + 5112359.

It is an arithmetic number, because the mean of its divisors is an integer number (14463360).

Almost surely, 2^1221825360 is an apocalyptic number.

1221825360 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 1221825360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314137600).

1221825360 is an abundant number, since it is smaller than the sum of its proper divisors (3406449840).

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

1221825360 is a wasteful number, since it uses less digits than its factorization.

1221825360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1221825360 is about 34954.6185789518. The cubic root of 1221825360 is about 1069.0623748164.

The spelling of 1221825360 in words is "one billion, two hundred twenty-one million, eight hundred twenty-five thousand, three hundred sixty".