211221202312320 has 128 divisors (see below), whose sum is σ = 673273984875840. Its totient is φ = 56325118316544.

The previous prime is 211221202312313. The next prime is 211221202312339. The reversal of 211221202312320 is 23213202122112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×211221202312320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 227253982 + ... + 228181538.

Almost surely, 2^{211221202312320} is an apocalyptic number.

211221202312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221202312320 is an abundant number, since it is smaller than the sum of its proper divisors (462052782563520).

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

211221202312320 is a wasteful number, since it uses less digits than its factorization.

211221202312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046182 (or 1046170 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211221202312320 its reverse (23213202122112), we get a palindrome (234434404434432).

The spelling of 211221202312320 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred two million, three hundred twelve thousand, three hundred twenty".