21242214000 has 960 divisors, whose sum is σ = 92123246592. Its totient is φ = 4451328000.

The previous prime is 21242213999. The next prime is 21242214013. The reversal of 21242214000 is 41224212.

21242214000 is a `hidden beast` number, since 2 + 1 + 242 + 21 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100673895 + ... + 100674105.

Almost surely, 2^21242214000 is an apocalyptic number.

21242214000 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 21242214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46061623296).

21242214000 is an abundant number, since it is smaller than the sum of its proper divisors (70881032592).

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

21242214000 is a wasteful number, since it uses less digits than its factorization.

21242214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21242214000 its reverse (41224212), we get a palindrome (21283438212).

The spelling of 21242214000 in words is "twenty-one billion, two hundred forty-two million, two hundred fourteen thousand".