211322021313120 has 96 divisors (see below), whose sum is σ = 665675951673600. Its totient is φ = 56351558315520.

The previous prime is 211322021313113. The next prime is 211322021313149. The reversal of 211322021313120 is 21313120223112.

It is a tau number, because it is divible by the number of its divisors (96).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23989605 + ... + 31593435.

It is an arithmetic number, because the mean of its divisors is an integer number (6934124496600).

Almost surely, 2^{211322021313120} is an apocalyptic number.

211322021313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211322021313120 is an abundant number, since it is smaller than the sum of its proper divisors (454353930360480).

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

211322021313120 is a wasteful number, since it uses less digits than its factorization.

211322021313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661748 (or 7661740 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 211322021313120 its reverse (21313120223112), we get a palindrome (232635141536232).

The spelling of 211322021313120 in words is "two hundred eleven trillion, three hundred twenty-two billion, twenty-one million, three hundred thirteen thousand, one hundred twenty".