10235205200000 has 192 divisors, whose sum is σ = 27803388594240. Its totient is φ = 3721891200000.

The previous prime is 10235205199969. The next prime is 10235205200021. The reversal of 10235205200000 is 250253201.

It is a super-2 number, since 2×10235205200000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3236909 + ... + 5563091.

It is an arithmetic number, because the mean of its divisors is an integer number (144809315595).

Almost surely, 2^{10235205200000} is an apocalyptic number.

10235205200000 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 10235205200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13901694297120).

10235205200000 is an abundant number, since it is smaller than the sum of its proper divisors (17568183394240).

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

10235205200000 is an frugal number, since it uses more digits than its factorization.

10235205200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326233 (or 2326201 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 10235205200000 its reverse (250253201), we get a palindrome (10235455453201).

The spelling of 10235205200000 in words is "ten trillion, two hundred thirty-five billion, two hundred five million, two hundred thousand".