1222401600 has 504 divisors, whose sum is σ = 5067328448. Its totient is φ = 273715200.

The previous prime is 1222401577. The next prime is 1222401601. The reversal of 1222401600 is 61042221.

1222401600 is a `hidden beast` number, since 1 + 2 + 22 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1222401601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6753510 + ... + 6753690.

Almost surely, 2^1222401600 is an apocalyptic number.

1222401600 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 1222401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533664224).

1222401600 is an abundant number, since it is smaller than the sum of its proper divisors (3844926848).

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

1222401600 is a wasteful number, since it uses less digits than its factorization.

1222401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1222401600 is about 34962.8602948901. The cubic root of 1222401600 is about 1069.2304129291.

Adding to 1222401600 its reverse (61042221), we get a palindrome (1283443821).

The spelling of 1222401600 in words is "one billion, two hundred twenty-two million, four hundred one thousand, six hundred".