1225730128896 has 1056 divisors, whose sum is σ = 4651262179200. Its totient is φ = 301687898112.

The previous prime is 1225730128853. The next prime is 1225730128919. The reversal of 1225730128896 is 6988210375221.

1225730128896 is a `hidden beast` number, since 1 + 2 + 2 + 57 + 301 + 288 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2124315360 + ... + 2124315936.

Almost surely, 2^{1225730128896} is an apocalyptic number.

1225730128896 is a gapful number since it is divisible by the number (16) 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 1225730128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325631089600).

1225730128896 is an abundant number, since it is smaller than the sum of its proper divisors (3425532050304).

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

1225730128896 is a wasteful number, since it uses less digits than its factorization.

1225730128896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1225730128896 in words is "one trillion, two hundred twenty-five billion, seven hundred thirty million, one hundred twenty-eight thousand, eight hundred ninety-six".