21141241200 has 180 divisors, whose sum is σ = 76556104560. Its totient is φ = 5392527360.

The previous prime is 21141241133. The next prime is 21141241217. The reversal of 21141241200 is 214214112.

21141241200 is a `hidden beast` number, since 2 + 11 + 412 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44865 + ... + 210464.

It is an arithmetic number, because the mean of its divisors is an integer number (425311692).

Almost surely, 2^21141241200 is an apocalyptic number.

21141241200 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 21141241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38278052280).

21141241200 is an abundant number, since it is smaller than the sum of its proper divisors (55414863360).

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

21141241200 is a wasteful number, since it uses less digits than its factorization.

21141241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255376 (or 255362 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21141241200 its reverse (214214112), we get a palindrome (21355455312).

The spelling of 21141241200 in words is "twenty-one billion, one hundred forty-one million, two hundred forty-one thousand, two hundred".