21434412122200 has 768 divisors, whose sum is σ = 66581338521600. Its totient is φ = 6216134400000.

The previous prime is 21434412122197. The next prime is 21434412122363. The reversal of 21434412122200 is 222121443412.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 3753177345 + ... + 3753183055.

It is an arithmetic number, because the mean of its divisors is an integer number (86694451200).

Almost surely, 2^{21434412122200} is an apocalyptic number.

21434412122200 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 21434412122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33290669260800).

21434412122200 is an abundant number, since it is smaller than the sum of its proper divisors (45146926399400).

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

21434412122200 is a wasteful number, since it uses less digits than its factorization.

21434412122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5992 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 21434412122200 its reverse (222121443412), we get a palindrome (21656533565612).

It can be divided in two parts, 2143441212 and 2200, that added together give a palindrome (2143443412).

The spelling of 21434412122200 in words is "twenty-one trillion, four hundred thirty-four billion, four hundred twelve million, one hundred twenty-two thousand, two hundred".