211222222011000 has 384 divisors, whose sum is σ = 733614450154560. Its totient is φ = 54774610560000.

The previous prime is 211222222010953. The next prime is 211222222011013. The reversal of 211222222011000 is 110222222112.

It is a happy number.

211222222011000 is a `hidden beast` number, since 2 + 112 + 222 + 220 + 110 + 0 + 0 = 666.

It is a super-2 number, since 2×211222222011000² (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 congruent number.

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 95 ways as a sum of consecutive naturals, for example, 632866167 + ... + 633199833.

Almost surely, 2^{211222222011000} is an apocalyptic number.

211222222011000 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 211222222011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366807225077280).

211222222011000 is an abundant number, since it is smaller than the sum of its proper divisors (522392228143560).

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

211222222011000 is a wasteful number, since it uses less digits than its factorization.

211222222011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335632 (or 335615 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211222222011000 its reverse (110222222112), we get a palindrome (211332444233112).

It can be divided in two parts, 211222 and 222011000, that added together give a palindrome (222222222).

The spelling of 211222222011000 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-two million, eleven thousand".