211230032112 has 240 divisors, whose sum is σ = 660737147616. Its totient is φ = 62449920000.

The previous prime is 211230032089. The next prime is 211230032159.

211230032112 is a `hidden beast` number, since 21 + 12 + 300 + 321 + 12 = 666.

211230032112 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×211230032112³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15188362 + ... + 15202262.

Almost surely, 2^211230032112 is an apocalyptic number.

211230032112 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 211230032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330368573808).

211230032112 is an abundant number, since it is smaller than the sum of its proper divisors (449507115504).

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

211230032112 is a wasteful number, since it uses less digits than its factorization.

211230032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14160 (or 14151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2112300 and 32112, that added together give a palindrome (2144412).

The spelling of 211230032112 in words is "two hundred eleven billion, two hundred thirty million, thirty-two thousand, one hundred twelve".