21143234112 has 672 divisors, whose sum is σ = 77275919616. Its totient is φ = 4963368960.

The previous prime is 21143234093. The next prime is 21143234129.

21143234112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 154330108 + ... + 154330244.

It is an arithmetic number, because the mean of its divisors is an integer number (114993928).

Almost surely, 2^21143234112 is an apocalyptic number.

21143234112 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 21143234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38637959808).

21143234112 is an abundant number, since it is smaller than the sum of its proper divisors (56132685504).

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

21143234112 is a wasteful number, since it uses less digits than its factorization.

21143234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

It can be divided in two parts, 21143 and 234112, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 21143234112 in words is "twenty-one billion, one hundred forty-three million, two hundred thirty-four thousand, one hundred twelve".