211022001120 has 192 divisors, whose sum is σ = 765662478336. Its totient is φ = 47853711360.

The previous prime is 211022001041. The next prime is 211022001163. The reversal of 211022001120 is 21100220112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211022001096 and 211022001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179460 + ... + 673980.

It is an arithmetic number, because the mean of its divisors is an integer number (3987825408).

Almost surely, 2^211022001120 is an apocalyptic number.

211022001120 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 211022001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382831239168).

211022001120 is an abundant number, since it is smaller than the sum of its proper divisors (554640477216).

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

211022001120 is a wasteful number, since it uses less digits than its factorization.

211022001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494673 (or 494665 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211022001120 its reverse (21100220112), we get a palindrome (232122221232).

The spelling of 211022001120 in words is "two hundred eleven billion, twenty-two million, one thousand, one hundred twenty".