211231121132112 has 160 divisors (see below), whose sum is σ = 554093788406400. Its totient is φ = 69334024980480.

The previous prime is 211231121132107. The next prime is 211231121132117.

211231121132112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (211231121132107) and next prime (211231121132117).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211231121132117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 933988198 + ... + 934214330.

It is an arithmetic number, because the mean of its divisors is an integer number (3463086177540).

Almost surely, 2^{211231121132112} is an apocalyptic number.

It is an amenable number.

211231121132112 is an abundant number, since it is smaller than the sum of its proper divisors (342862667274288).

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

211231121132112 is a wasteful number, since it uses less digits than its factorization.

211231121132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227421 (or 227415 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The spelling of 211231121132112 in words is "two hundred eleven trillion, two hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred twelve".