211001012212320 has 768 divisors, whose sum is σ = 842849717391360. Its totient is φ = 48842344857600.

The previous prime is 211001012212259. The next prime is 211001012212339. The reversal of 211001012212320 is 23212210100112.

211001012212320 is a `hidden beast` number, since 2 + 110 + 0 + 10 + 1 + 221 + 2 + 320 = 666.

It is a super-2 number, since 2×211001012212320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211001012212293 and 211001012212302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90418924 + ... + 92723156.

It is an arithmetic number, because the mean of its divisors is an integer number (1097460569520).

Almost surely, 2^{211001012212320} is an apocalyptic number.

211001012212320 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 211001012212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421424858695680).

211001012212320 is an abundant number, since it is smaller than the sum of its proper divisors (631848705179040).

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

211001012212320 is a wasteful number, since it uses less digits than its factorization.

211001012212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304356 (or 2304342 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211001012212320 its reverse (23212210100112), we get a palindrome (234213222312432).

The spelling of 211001012212320 in words is "two hundred eleven trillion, one billion, twelve million, two hundred twelve thousand, three hundred twenty".