21121222013200 has 240 divisors, whose sum is σ = 53062745382016. Its totient is φ = 8073777254400.

The previous prime is 21121222013153. The next prime is 21121222013209. The reversal of 21121222013200 is 231022212112.

It is a super-2 number, since 2×21121222013200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121222013209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119251909 + ... + 119428891.

Almost surely, 2^{21121222013200} is an apocalyptic number.

21121222013200 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 21121222013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26531372691008).

21121222013200 is an abundant number, since it is smaller than the sum of its proper divisors (31941523368816).

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

21121222013200 is a wasteful number, since it uses less digits than its factorization.

21121222013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177202 (or 177191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21121222013200 its reverse (231022212112), we get a palindrome (21352244225312).

The spelling of 21121222013200 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred twenty-two million, thirteen thousand, two hundred".