213024420312 has 128 divisors (see below), whose sum is σ = 593240405760. Its totient is φ = 63203051520.

The previous prime is 213024420307. The next prime is 213024420317.

It is a happy number.

213024420312 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (213024420307) and next prime (213024420317).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213024420317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2599923 + ... + 2680605.

It is an arithmetic number, because the mean of its divisors is an integer number (4634690670).

Almost surely, 2^213024420312 is an apocalyptic number.

213024420312 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 213024420312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296620202880).

213024420312 is an abundant number, since it is smaller than the sum of its proper divisors (380215985448).

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

213024420312 is a wasteful number, since it uses less digits than its factorization.

213024420312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80913 (or 80909 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 213024 and 420312, that added together give a palindrome (633336).

The spelling of 213024420312 in words is "two hundred thirteen billion, twenty-four million, four hundred twenty thousand, three hundred twelve".