211342424243112 has 96 divisors (see below), whose sum is σ = 587968509421800. Its totient is φ = 68530325778432.

The previous prime is 211342424243057. The next prime is 211342424243261.

211342424243112 is a `hidden beast` number, since 2 + 1 + 134 + 2 + 42 + 42 + 431 + 12 = 666.

211342424243112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 179852077879236 + 31490346363876 = 13410894^2 + 5611626^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6261808 + ... + 21491744.

Almost surely, 2^{211342424243112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211342424243112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293984254710900).

211342424243112 is an abundant number, since it is smaller than the sum of its proper divisors (376626085178688).

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

211342424243112 is a wasteful number, since it uses less digits than its factorization.

211342424243112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15235195 (or 15235188 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 211342424243112 in words is "two hundred eleven trillion, three hundred forty-two billion, four hundred twenty-four million, two hundred forty-three thousand, one hundred twelve".