211120122222000 has 400 divisors, whose sum is σ = 762643916933184. Its totient is φ = 56294092800000.

The previous prime is 211120122221999. The next prime is 211120122222001. The reversal of 211120122222000 is 222221021112.

It is a happy number.

211120122222000 is a `hidden beast` number, since 21 + 1 + 1 + 201 + 222 + 220 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (211120122221999) and next prime (211120122222001).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (211120122222001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2281075725 + ... + 2281168275.

Almost surely, 2^{211120122222000} is an apocalyptic number.

211120122222000 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 211120122222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381321958466592).

211120122222000 is an abundant number, since it is smaller than the sum of its proper divisors (551523794711184).

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

211120122222000 is a wasteful number, since it uses less digits than its factorization.

211120122222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106667 (or 106642 counting only the distinct ones).

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

Adding to 211120122222000 its reverse (222221021112), we get a palindrome (211342343243112).

The spelling of 211120122222000 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-two thousand".