212220333949120 has 448 divisors, whose sum is σ = 610721117798400. Its totient is φ = 68617032007680.

The previous prime is 212220333949109. The next prime is 212220333949163. The reversal of 212220333949120 is 21949333022212.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 8492537586 + ... + 8492562574.

It is an arithmetic number, because the mean of its divisors is an integer number (1363216780800).

Almost surely, 2^{212220333949120} is an apocalyptic number.

212220333949120 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 212220333949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305360558899200).

212220333949120 is an abundant number, since it is smaller than the sum of its proper divisors (398500783849280).

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

212220333949120 is a wasteful number, since it uses less digits than its factorization.

212220333949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25936 (or 25926 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 212220333949120 in words is "two hundred twelve trillion, two hundred twenty billion, three hundred thirty-three million, nine hundred forty-nine thousand, one hundred twenty".