10223201132340 has 192 divisors, whose sum is σ = 33112428410880. Its totient is φ = 2308296798720.

The previous prime is 10223201132299. The next prime is 10223201132357. The reversal of 10223201132340 is 4323110232201.

It is a self number, because there is not a number n which added to its sum of digits gives 10223201132340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444070030 + ... + 444093050.

It is an arithmetic number, because the mean of its divisors is an integer number (172460564640).

Almost surely, 2^{10223201132340} is an apocalyptic number.

10223201132340 is a gapful number since it is divisible by the number (10) 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 10223201132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556214205440).

10223201132340 is an abundant number, since it is smaller than the sum of its proper divisors (22889227278540).

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

10223201132340 is a wasteful number, since it uses less digits than its factorization.

10223201132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35862 (or 35860 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10223201132340 its reverse (4323110232201), we get a palindrome (14546311364541).

The spelling of 10223201132340 in words is "ten trillion, two hundred twenty-three billion, two hundred one million, one hundred thirty-two thousand, three hundred forty".