211001112211320 has 768 divisors, whose sum is σ = 741986324352000. Its totient is φ = 51894205440000.

The previous prime is 211001112211319. The next prime is 211001112211387. The reversal of 211001112211320 is 23112211100112.

It is a happy number.

211001112211320 is a `hidden beast` number, since 2 + 1 + 10 + 0 + 111 + 221 + 1 + 320 = 666.

It is a super-2 number, since 2×211001112211320² (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 = 211001112211293 and 211001112211302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6338827717 + ... + 6338861003.

It is an arithmetic number, because the mean of its divisors is an integer number (966128026500).

Almost surely, 2^{211001112211320} is an apocalyptic number.

211001112211320 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 211001112211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370993162176000).

211001112211320 is an abundant number, since it is smaller than the sum of its proper divisors (530985212140680).

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

211001112211320 is a wasteful number, since it uses less digits than its factorization.

211001112211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33684 (or 33677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 211001112211320 its reverse (23112211100112), we get a palindrome (234113323311432).

The spelling of 211001112211320 in words is "two hundred eleven trillion, one billion, one hundred twelve million, two hundred eleven thousand, three hundred twenty".