1222275600 has 810 divisors, whose sum is σ = 5473208286. Its totient is φ = 251596800.

The previous prime is 1222275583. The next prime is 1222275611. The reversal of 1222275600 is 65722221.

1222275600 is a `hidden beast` number, since 12 + 22 + 27 + 5 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1067720976 + 154554624 = 32676^2 + 12432^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 29811580 + ... + 29811620.

Almost surely, 2^1222275600 is an apocalyptic number.

1222275600 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 1222275600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736604143).

1222275600 is an abundant number, since it is smaller than the sum of its proper divisors (4250932686).

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

1222275600 is a wasteful number, since it uses less digits than its factorization.

1222275600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1222275600 is about 34961.0583363834. The cubic root of 1222275600 is about 1069.1936744134.

Adding to 1222275600 its reverse (65722221), we get a palindrome (1287997821).

It can be divided in two parts, 122 and 2275600, that added together give a palindrome (2275722).

The spelling of 1222275600 in words is "one billion, two hundred twenty-two million, two hundred seventy-five thousand, six hundred".