21121241341200 has 960 divisors, whose sum is σ = 90885686943744. Its totient is φ = 4049280000000.

The previous prime is 21121241341141. The next prime is 21121241341217. The reversal of 21121241341200 is 214314212112.

It is a super-2 number, since 2×21121241341200² (a number of 27 digits) contains 22 as substring.

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

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, 4445638825 + ... + 4445643575.

Almost surely, 2^{21121241341200} is an apocalyptic number.

21121241341200 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 21121241341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45442843471872).

21121241341200 is an abundant number, since it is smaller than the sum of its proper divisors (69764445602544).

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

21121241341200 is a wasteful number, since it uses less digits than its factorization.

21121241341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8493 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21121241341200 its reverse (214314212112), we get a palindrome (21335555553312).

The spelling of 21121241341200 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred forty-one million, three hundred forty-one thousand, two hundred".