21141212120640 has 336 divisors, whose sum is σ = 77965174828800. Its totient is φ = 5392539896832.

The previous prime is 21141212120599. The next prime is 21141212120689. The reversal of 21141212120640 is 4602121214112.

21141212120640 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 2 + 1 + 2 + 12 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2257801 + ... + 6883319.

It is an arithmetic number, because the mean of its divisors is an integer number (232039210800).

Almost surely, 2^{21141212120640} is an apocalyptic number.

21141212120640 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 21141212120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38982587414400).

21141212120640 is an abundant number, since it is smaller than the sum of its proper divisors (56823962708160).

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

21141212120640 is a wasteful number, since it uses less digits than its factorization.

21141212120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625591 (or 4625552 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 21141212120640 its reverse (4602121214112), we get a palindrome (25743333334752).

The spelling of 21141212120640 in words is "twenty-one trillion, one hundred forty-one billion, two hundred twelve million, one hundred twenty thousand, six hundred forty".