1226158720 has 64 divisors (see below), whose sum is σ = 2941131240. Its totient is φ = 488816640.

The previous prime is 1226158699. The next prime is 1226158721. The reversal of 1226158720 is 278516221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 317980224 + 908178496 = 17832^2 + 30136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1226158721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197260 + ... + 203380.

Almost surely, 2^1226158720 is an apocalyptic number.

1226158720 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 1226158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470565620).

1226158720 is an abundant number, since it is smaller than the sum of its proper divisors (1714972520).

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

1226158720 is an equidigital number, since it uses as much as digits as its factorization.

1226158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6453 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1226158720 is about 35016.5492303282. The cubic root of 1226158720 is about 1070.3247391195.

The spelling of 1226158720 in words is "one billion, two hundred twenty-six million, one hundred fifty-eight thousand, seven hundred twenty".