2221432012800 has 3456 divisors, whose sum is σ = 11127949953120. Its totient is φ = 416179814400.

The previous prime is 2221432012759. The next prime is 2221432012837. The reversal of 2221432012800 is 82102341222.

2221432012800 is a `hidden beast` number, since 2 + 2 + 214 + 320 + 128 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 51661209579 + ... + 51661209621.

Almost surely, 2^{2221432012800} is an apocalyptic number.

2221432012800 is a gapful number since it is divisible by the number (20) 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 2221432012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563974976560).

2221432012800 is an abundant number, since it is smaller than the sum of its proper divisors (8906517940320).

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

2221432012800 is a wasteful number, since it uses less digits than its factorization.

2221432012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 2221432012800 in words is "two trillion, two hundred twenty-one billion, four hundred thirty-two million, twelve thousand, eight hundred".