21112141241400 has 384 divisors, whose sum is σ = 72359760464640. Its totient is φ = 5049469440000.

The previous prime is 21112141241393. The next prime is 21112141241413. The reversal of 21112141241400 is 414214121112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188591844 + ... + 188703756.

It is an arithmetic number, because the mean of its divisors is an integer number (188436876210).

Almost surely, 2^{21112141241400} is an apocalyptic number.

21112141241400 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 21112141241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36179880232320).

21112141241400 is an abundant number, since it is smaller than the sum of its proper divisors (51247619223240).

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

21112141241400 is a wasteful number, since it uses less digits than its factorization.

21112141241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112327 (or 112318 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 21112141241400 its reverse (414214121112), we get a palindrome (21526355362512).

The spelling of 21112141241400 in words is "twenty-one trillion, one hundred twelve billion, one hundred forty-one million, two hundred forty-one thousand, four hundred".