212332211120 has 80 divisors (see below), whose sum is σ = 506734531200. Its totient is φ = 82713216000.

The previous prime is 212332211101. The next prime is 212332211123. The reversal of 212332211120 is 21112233212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212332211092 and 212332211101.

It is not an unprimeable number, because it can be changed into a prime (212332211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277481 + ... + 708279.

It is an arithmetic number, because the mean of its divisors is an integer number (6334181640).

Almost surely, 2^212332211120 is an apocalyptic number.

212332211120 is a gapful number since it is divisible by the number (20) 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 212332211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253367265600).

212332211120 is an abundant number, since it is smaller than the sum of its proper divisors (294402320080).

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

212332211120 is a wasteful number, since it uses less digits than its factorization.

212332211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430974 (or 430968 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 212332211120 its reverse (21112233212), we get a palindrome (233444444332).

The spelling of 212332211120 in words is "two hundred twelve billion, three hundred thirty-two million, two hundred eleven thousand, one hundred twenty".