212332133120 has 144 divisors (see below), whose sum is σ = 523531911168. Its totient is φ = 82468270080.

The previous prime is 212332133087. The next prime is 212332133131. The reversal of 212332133120 is 21331233212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7626425 + ... + 7654215.

It is an arithmetic number, because the mean of its divisors is an integer number (3635638272).

Almost surely, 2^212332133120 is an apocalyptic number.

212332133120 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 212332133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261765955584).

212332133120 is an abundant number, since it is smaller than the sum of its proper divisors (311199778048).

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

212332133120 is a wasteful number, since it uses less digits than its factorization.

212332133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27986 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 212332133120 its reverse (21331233212), we get a palindrome (233663366332).

The spelling of 212332133120 in words is "two hundred twelve billion, three hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".