21127866872112 has 1920 divisors, whose sum is σ = 84836670105600. Its totient is φ = 4861181952000.

The previous prime is 21127866872039. The next prime is 21127866872143.

21127866872112 is a `hidden beast` number, since 21 + 1 + 278 + 66 + 87 + 211 + 2 = 666.

21127866872112 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52687947112 + ... + 52687947512.

It is an arithmetic number, because the mean of its divisors is an integer number (44185765680).

Almost surely, 2^{21127866872112} is an apocalyptic number.

21127866872112 is a gapful number since it is divisible by the number (22) 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 21127866872112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42418335052800).

21127866872112 is an abundant number, since it is smaller than the sum of its proper divisors (63708803233488).

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

21127866872112 is a wasteful number, since it uses less digits than its factorization.

21127866872112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 563 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

It can be divided in two parts, 2112786 and 6872112, that added together give a palindrome (8984898).

The spelling of 21127866872112 in words is "twenty-one trillion, one hundred twenty-seven billion, eight hundred sixty-six million, eight hundred seventy-two thousand, one hundred twelve".