21144112000 has 256 divisors, whose sum is σ = 60376492800. Its totient is φ = 7282944000.

The previous prime is 21144111997. The next prime is 21144112001. The reversal of 21144112000 is 21144112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21144112001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3340839 + ... + 3347161.

It is an arithmetic number, because the mean of its divisors is an integer number (235845675).

Almost surely, 2^21144112000 is an apocalyptic number.

21144112000 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 21144112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30188246400).

21144112000 is an abundant number, since it is smaller than the sum of its proper divisors (39232380800).

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

21144112000 is a wasteful number, since it uses less digits than its factorization.

21144112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21144112000 its reverse (21144112), we get a palindrome (21165256112).

21144112000 divided by its reverse (21144112) gives a cube (1000 = 10³).

It can be divided in two parts, 2114 and 4112000, that added together give a palindrome (4114114).

The spelling of 21144112000 in words is "twenty-one billion, one hundred forty-four million, one hundred twelve thousand".