1226313600 has 192 divisors, whose sum is σ = 4072656000. Its totient is φ = 324311040.

The previous prime is 1226313577. The next prime is 1226313611. The reversal of 1226313600 is 63136221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1333941 + ... + 1334859.

It is an arithmetic number, because the mean of its divisors is an integer number (21211750).

Almost surely, 2^1226313600 is an apocalyptic number.

1226313600 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 1226313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036328000).

1226313600 is an abundant number, since it is smaller than the sum of its proper divisors (2846342400).

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

1226313600 is a wasteful number, since it uses less digits than its factorization.

1226313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1226313600 is about 35018.7606862379. The cubic root of 1226313600 is about 1070.3698025939.

Adding to 1226313600 its reverse (63136221), we get a palindrome (1289449821).

The spelling of 1226313600 in words is "one billion, two hundred twenty-six million, three hundred thirteen thousand, six hundred".