211213202312112 has 480 divisors, whose sum is σ = 739203927920640. Its totient is φ = 50568198912000.

The previous prime is 211213202312081. The next prime is 211213202312141.

211213202312112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211213202312112² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 370213089 + ... + 370783167.

It is an arithmetic number, because the mean of its divisors is an integer number (1540008183168).

Almost surely, 2^{211213202312112} is an apocalyptic number.

211213202312112 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 211213202312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369601963960320).

211213202312112 is an abundant number, since it is smaller than the sum of its proper divisors (527990725608528).

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

211213202312112 is a wasteful number, since it uses less digits than its factorization.

211213202312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570833 (or 570816 counting only the distinct ones).

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

It can be divided in two parts, 21121320 and 2312112, that added together give a palindrome (23433432).

The spelling of 211213202312112 in words is "two hundred eleven trillion, two hundred thirteen billion, two hundred two million, three hundred twelve thousand, one hundred twelve".