212133413120 has 144 divisors (see below), whose sum is σ = 553314888000. Its totient is φ = 77615161344.

The previous prime is 212133413113. The next prime is 212133413131. The reversal of 212133413120 is 21314331212.

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, 554891 + ... + 855669.

It is an arithmetic number, because the mean of its divisors is an integer number (3842464500).

Almost surely, 2^212133413120 is an apocalyptic number.

212133413120 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 212133413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276657444000).

212133413120 is an abundant number, since it is smaller than the sum of its proper divisors (341181474880).

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

212133413120 is a wasteful number, since it uses less digits than its factorization.

212133413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300848 (or 300834 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 212133413120 its reverse (21314331212), we get a palindrome (233447744332).

The spelling of 212133413120 in words is "two hundred twelve billion, one hundred thirty-three million, four hundred thirteen thousand, one hundred twenty".