1236128880 has 240 divisors, whose sum is σ = 4485918240. Its totient is φ = 280756224.

The previous prime is 1236128863. The next prime is 1236128903. The reversal of 1236128880 is 888216321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3022116 + ... + 3022524.

It is an arithmetic number, because the mean of its divisors is an integer number (18691326).

Almost surely, 2^1236128880 is an apocalyptic number.

1236128880 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 1236128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242959120).

1236128880 is an abundant number, since it is smaller than the sum of its proper divisors (3249789360).

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

1236128880 is a wasteful number, since it uses less digits than its factorization.

1236128880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1236128880 is about 35158.6245464751. The cubic root of 1236128880 is about 1073.2179249995.

The spelling of 1236128880 in words is "one billion, two hundred thirty-six million, one hundred twenty-eight thousand, eight hundred eighty".