1226410000 has 100 divisors (see below), whose sum is σ = 3072375900. Its totient is φ = 473536000.

The previous prime is 1226409991. The next prime is 1226410013. The reversal of 1226410000 is 146221.

It can be written as a sum of positive squares in 10 ways, for example, as 503015184 + 723394816 = 22428^2 + 26896^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 287886 + ... + 292114.

It is an arithmetic number, because the mean of its divisors is an integer number (30723759).

Almost surely, 2^1226410000 is an apocalyptic number.

1226410000 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 1226410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536187950).

1226410000 is an abundant number, since it is smaller than the sum of its proper divisors (1845965900).

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

1226410000 is an equidigital number, since it uses as much as digits as its factorization.

1226410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1226410000 is about 35020.1370642663. The cubic root of 1226410000 is about 1070.3978489667.

Adding to 1226410000 its reverse (146221), we get a palindrome (1226556221).

The spelling of 1226410000 in words is "one billion, two hundred twenty-six million, four hundred ten thousand".