213120213120 has 384 divisors, whose sum is σ = 763381223280. Its totient is φ = 54743040000.

The previous prime is 213120213109. The next prime is 213120213181. The reversal of 213120213120 is 21312021312.

213120213120 is a `hidden beast` number, since 21 + 312 + 0 + 21 + 312 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 212712819264 + 407393856 = 461208^2 + 20184^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 213120213093 and 213120213102.

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, 21520170 + ... + 21530070.

Almost surely, 2^213120213120 is an apocalyptic number.

213120213120 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 213120213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381690611640).

213120213120 is an abundant number, since it is smaller than the sum of its proper divisors (550261010160).

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

213120213120 is a wasteful number, since it uses less digits than its factorization.

213120213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10064 (or 10049 counting only the distinct ones).

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

Adding to 213120213120 its reverse (21312021312), we get a palindrome (234432234432).

The spelling of 213120213120 in words is "two hundred thirteen billion, one hundred twenty million, two hundred thirteen thousand, one hundred twenty".