211320141023112 has 96 divisors (see below), whose sum is σ = 580841604151200. Its totient is φ = 64020104515840.

The previous prime is 211320141023093. The next prime is 211320141023161.

211320141023112 is nontrivially palindromic in base 10.

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

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, 2149363 + ... + 20670269.

It is an arithmetic number, because the mean of its divisors is an integer number (6050433376575).

Almost surely, 2^{211320141023112} is an apocalyptic number.

211320141023112 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 211320141023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290420802075600).

211320141023112 is an abundant number, since it is smaller than the sum of its proper divisors (369521463128088).

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

211320141023112 is a wasteful number, since it uses less digits than its factorization.

211320141023112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18524867 (or 18524852 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 211320141023112 in words is "two hundred eleven trillion, three hundred twenty billion, one hundred forty-one million, twenty-three thousand, one hundred twelve".