1222581600 has 432 divisors, whose sum is σ = 4720322880. Its totient is φ = 307929600.

The previous prime is 1222581587. The next prime is 1222581637. The reversal of 1222581600 is 61852221.

It is a happy number.

1222581600 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 58 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3693435 + ... + 3693765.

Almost surely, 2^1222581600 is an apocalyptic number.

1222581600 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 1222581600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360161440).

1222581600 is an abundant number, since it is smaller than the sum of its proper divisors (3497741280).

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

1222581600 is a wasteful number, since it uses less digits than its factorization.

1222581600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 360 counting only the distinct ones).

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

The square root of 1222581600 is about 34965.4343602364. The cubic root of 1222581600 is about 1069.2828921439.

The spelling of 1222581600 in words is "one billion, two hundred twenty-two million, five hundred eighty-one thousand, six hundred".