21217831703712 has 240 divisors, whose sum is σ = 71392312474560. Its totient is φ = 6055707267072.

The previous prime is 21217831703699. The next prime is 21217831703729. The reversal of 21217831703712 is 21730713871212.

21217831703712 is a `hidden beast` number, since 2 + 12 + 178 + 31 + 70 + 371 + 2 = 666.

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 39 ways as a sum of consecutive naturals, for example, 16226383 + ... + 17485169.

It is an arithmetic number, because the mean of its divisors is an integer number (297467968644).

Almost surely, 2^{21217831703712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21217831703712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35696156237280).

21217831703712 is an abundant number, since it is smaller than the sum of its proper divisors (50174480770848).

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

21217831703712 is a wasteful number, since it uses less digits than its factorization.

21217831703712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259745 (or 1259728 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 21217831703712 in words is "twenty-one trillion, two hundred seventeen billion, eight hundred thirty-one million, seven hundred three thousand, seven hundred twelve".