211123484321112 has 288 divisors, whose sum is σ = 643846748585040. Its totient is φ = 62417953382400.

The previous prime is 211123484321093. The next prime is 211123484321159.

211123484321112 is a `hidden beast` number, since 2 + 1 + 1 + 123 + 484 + 32 + 11 + 12 = 666.

211123484321112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329716848 + ... + 330356544.

Almost surely, 2^{211123484321112} is an apocalyptic number.

211123484321112 is a gapful number since it is divisible by the number (22) 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 211123484321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321923374292520).

211123484321112 is an abundant number, since it is smaller than the sum of its proper divisors (432723264263928).

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

211123484321112 is a wasteful number, since it uses less digits than its factorization.

211123484321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640655 (or 640637 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The spelling of 211123484321112 in words is "two hundred eleven trillion, one hundred twenty-three billion, four hundred eighty-four million, three hundred twenty-one thousand, one hundred twelve".