1226016000 has 720 divisors, whose sum is σ = 5092895808. Its totient is φ = 290304000.

The previous prime is 1226015953. The next prime is 1226016007. The reversal of 1226016000 is 6106221.

It is a happy number.

1226016000 is a `hidden beast` number, since 1 + 2 + 2 + 60 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226016007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28511979 + ... + 28512021.

Almost surely, 2^1226016000 is an apocalyptic number.

1226016000 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 1226016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546447904).

1226016000 is an abundant number, since it is smaller than the sum of its proper divisors (3866879808).

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

1226016000 is an equidigital number, since it uses as much as digits as its factorization.

1226016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1226016000 is about 35014.5112774689. The cubic root of 1226016000 is about 1070.2832103268.

The spelling of 1226016000 in words is "one billion, two hundred twenty-six million, sixteen thousand".