1226115200 has 72 divisors (see below), whose sum is σ = 3033788805. Its totient is φ = 489653760.

The previous prime is 1226115199. The next prime is 1226115203. The reversal of 1226115200 is 25116221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1201592896 + 24522304 = 34664^2 + 4952^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=24760.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1226115203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1980491 + ... + 1981109.

Almost surely, 2^1226115200 is an apocalyptic number.

1226115200 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 1226115200

1226115200 is an abundant number, since it is smaller than the sum of its proper divisors (1807673605).

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

1226115200 is an frugal number, since it uses more digits than its factorization.

1226115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1226115200 is about 35015.9278043578. The cubic root of 1226115200 is about 1070.3120759726.

The spelling of 1226115200 in words is "one billion, two hundred twenty-six million, one hundred fifteen thousand, two hundred".