212233414304440 has 128 divisors (see below), whose sum is σ = 491726684966400. Its totient is φ = 82404378201600.

The previous prime is 212233414304437. The next prime is 212233414304633. The reversal of 212233414304440 is 44403414332212.

It is a self number, because there is not a number n which added to its sum of digits gives 212233414304440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229033971 + ... + 229958749.

It is an arithmetic number, because the mean of its divisors is an integer number (3841614726300).

Almost surely, 2^{212233414304440} is an apocalyptic number.

212233414304440 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 212233414304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245863342483200).

212233414304440 is an abundant number, since it is smaller than the sum of its proper divisors (279493270661960).

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

212233414304440 is a wasteful number, since it uses less digits than its factorization.

212233414304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925997 (or 925993 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 212233414304440 its reverse (44403414332212), we get a palindrome (256636828636652).

The spelling of 212233414304440 in words is "two hundred twelve trillion, two hundred thirty-three billion, four hundred fourteen million, three hundred four thousand, four hundred forty".