213021120312 has 1152 divisors, whose sum is σ = 849592074240. Its totient is φ = 46402191360.

The previous prime is 213021120311. The next prime is 213021120337.

213021120312 is a `hidden beast` number, since 21 + 302 + 11 + 20 + 312 = 666.

213021120312 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213021120311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1677331593 + ... + 1677331719.

It is an arithmetic number, because the mean of its divisors is an integer number (737493120).

Almost surely, 2^213021120312 is an apocalyptic number.

213021120312 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 213021120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424796037120).

213021120312 is an abundant number, since it is smaller than the sum of its proper divisors (636570953928).

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

213021120312 is a wasteful number, since it uses less digits than its factorization.

213021120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 217 counting only the distinct ones).

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

It can be divided in two parts, 213021 and 120312, that added together give a palindrome (333333).

The spelling of 213021120312 in words is "two hundred thirteen billion, twenty-one million, one hundred twenty thousand, three hundred twelve".