10235343421200 has 240 divisors, whose sum is σ = 33001320905280. Its totient is φ = 2711652956160.

The previous prime is 10235343421187. The next prime is 10235343421217. The reversal of 10235343421200 is 212434353201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128291722 + ... + 128371478.

It is an arithmetic number, because the mean of its divisors is an integer number (137505503772).

Almost surely, 2^{10235343421200} is an apocalyptic number.

10235343421200 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 10235343421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16500660452640).

10235343421200 is an abundant number, since it is smaller than the sum of its proper divisors (22765977484080).

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

10235343421200 is a wasteful number, since it uses less digits than its factorization.

10235343421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80474 (or 80463 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 10235343421200 its reverse (212434353201), we get a palindrome (10447777774401).

The spelling of 10235343421200 in words is "ten trillion, two hundred thirty-five billion, three hundred forty-three million, four hundred twenty-one thousand, two hundred".