21141243200 has 336 divisors, whose sum is σ = 65329759104. Its totient is φ = 6541516800.

The previous prime is 21141243191. The next prime is 21141243203. The reversal of 21141243200 is 234214112.

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 (21141243203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19341854 + ... + 19342946.

Almost surely, 2^21141243200 is an apocalyptic number.

21141243200 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 21141243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32664879552).

21141243200 is an abundant number, since it is smaller than the sum of its proper divisors (44188515904).

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

21141243200 is a wasteful number, since it uses less digits than its factorization.

21141243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1275 counting only the distinct ones).

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

Adding to 21141243200 its reverse (234214112), we get a palindrome (21375457312).

The spelling of 21141243200 in words is "twenty-one billion, one hundred forty-one million, two hundred forty-three thousand, two hundred".