21272006322 has 90 divisors (see below), whose sum is σ = 55480992237. Its totient is φ = 6074003376.

The previous prime is 21272006317. The next prime is 21272006341. The reversal of 21272006322 is 22360027212.

21272006322 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 20 + 0 + 632 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14282879121 + 6989127201 = 119511^2 + 83601^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=103131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12993688 + ... + 12995324.

Almost surely, 2^21272006322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21272006322

21272006322 is an abundant number, since it is smaller than the sum of its proper divisors (34208985915).

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

21272006322 is an frugal number, since it uses more digits than its factorization.

21272006322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 21272006322 in words is "twenty-one billion, two hundred seventy-two million, six thousand, three hundred twenty-two".