211332321120 has 48 divisors (see below), whose sum is σ = 665696813040. Its totient is φ = 56355285504.

The previous prime is 211332321107. The next prime is 211332321133. The reversal of 211332321120 is 21123233112.

It is an interprime number because it is at equal distance from previous prime (211332321107) and next prime (211332321133).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×211332321120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 220137355 + ... + 220138314.

It is an arithmetic number, because the mean of its divisors is an integer number (13868683605).

Almost surely, 2^211332321120 is an apocalyptic number.

211332321120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332321120 is an abundant number, since it is smaller than the sum of its proper divisors (454364491920).

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

211332321120 is a wasteful number, since it uses less digits than its factorization.

211332321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440275687 (or 440275679 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211332321120 its reverse (21123233112), we get a palindrome (232455554232).

The spelling of 211332321120 in words is "two hundred eleven billion, three hundred thirty-two million, three hundred twenty-one thousand, one hundred twenty".