21233214000 has 240 divisors, whose sum is σ = 74418611904. Its totient is φ = 5642496000.

The previous prime is 21233213971. The next prime is 21233214043. The reversal of 21233214000 is 41233212.

21233214000 is a `hidden beast` number, since 212 + 33 + 21 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5596104 + ... + 5599896.

Almost surely, 2^21233214000 is an apocalyptic number.

21233214000 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 21233214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209305952).

21233214000 is an abundant number, since it is smaller than the sum of its proper divisors (53185397904).

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

21233214000 is a wasteful number, since it uses less digits than its factorization.

21233214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21233214000 its reverse (41233212), we get a palindrome (21274447212).

It can be divided in two parts, 2123 and 3214000, that added together give a palindrome (3216123).

The spelling of 21233214000 in words is "twenty-one billion, two hundred thirty-three million, two hundred fourteen thousand".