21312441200 has 120 divisors (see below), whose sum is σ = 51950091648. Its totient is φ = 8401155840.

The previous prime is 21312441149. The next prime is 21312441209. The reversal of 21312441200 is 214421312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312441209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24135959 + ... + 24136841.

Almost surely, 2^21312441200 is an apocalyptic number.

21312441200 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 21312441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25975045824).

21312441200 is an abundant number, since it is smaller than the sum of its proper divisors (30637650448).

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

21312441200 is a wasteful number, since it uses less digits than its factorization.

21312441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21312441200 its reverse (214421312), we get a palindrome (21526862512).

The spelling of 21312441200 in words is "twenty-one billion, three hundred twelve million, four hundred forty-one thousand, two hundred".