1228838760900 has 405 divisors, whose sum is σ = 4056182751621. Its totient is φ = 321810693120.

The previous prime is 1228838760871. The next prime is 1228838760917. The reversal of 1228838760900 is 90678388221.

It is a happy number.

The square root of 1228838760900 is 1108530.

It is a perfect power (a square), and thus also a powerful number.

1228838760900 is a `hidden beast` number, since 1 + 2 + 28 + 8 + 3 + 8 + 7 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1183295786436 + 45542974464 = 1087794^2 + 213408^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10874679244 + ... + 10874679356.

Almost surely, 2^{1228838760900} is an apocalyptic number.

1228838760900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1228838760900 is the 1108530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228838760900

1228838760900 is an abundant number, since it is smaller than the sum of its proper divisors (2827343990721).

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

1228838760900 is a wasteful number, since it uses less digits than its factorization.

1228838760900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1228838760900 in words is "one trillion, two hundred twenty-eight billion, eight hundred thirty-eight million, seven hundred sixty thousand, nine hundred".