1226412400 has 60 divisors (see below), whose sum is σ = 2954260072. Its totient is φ = 489265920.

The previous prime is 1226412389. The next prime is 1226412413. The reversal of 1226412400 is 42146221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154939 + ... + 162661.

Almost surely, 2^1226412400 is an apocalyptic number.

1226412400 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 1226412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477130036).

1226412400 is an abundant number, since it is smaller than the sum of its proper divisors (1727847672).

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

1226412400 is a wasteful number, since it uses less digits than its factorization.

1226412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8138 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1226412400 is about 35020.1713302491. The cubic root of 1226412400 is about 1070.3985471979.

Adding to 1226412400 its reverse (42146221), we get a palindrome (1268558621).

The spelling of 1226412400 in words is "one billion, two hundred twenty-six million, four hundred twelve thousand, four hundred".