212304312334440 has 768 divisors, whose sum is σ = 729094571712000. Its totient is φ = 53498470072320.

The previous prime is 212304312334423. The next prime is 212304312334493. The reversal of 212304312334440 is 44433213403212.

212304312334440 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 0 + 4 + 312 + 334 + 4 + 4 + 0 = 666.

212304312334440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212304312334440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212304312334395 and 212304312334404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215975902189 + ... + 215975903171.

It is an arithmetic number, because the mean of its divisors is an integer number (949341890250).

Almost surely, 2^{212304312334440} is an apocalyptic number.

212304312334440 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 212304312334440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364547285856000).

212304312334440 is an abundant number, since it is smaller than the sum of its proper divisors (516790259377560).

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

212304312334440 is a wasteful number, since it uses less digits than its factorization.

212304312334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 212304312334440 its reverse (44433213403212), we get a palindrome (256737525737652).

The spelling of 212304312334440 in words is "two hundred twelve trillion, three hundred four billion, three hundred twelve million, three hundred thirty-four thousand, four hundred forty".