10233214005200 has 180 divisors, whose sum is σ = 26214897412620. Its totient is φ = 3837866434560.

The previous prime is 10233214005151. The next prime is 10233214005211. The reversal of 10233214005200 is 250041233201.

It can be written as a sum of positive squares in 6 ways, for example, as 651688081984 + 9581525923216 = 807272^2 + 3095404^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13641506 + ... + 14372094.

It is an arithmetic number, because the mean of its divisors is an integer number (145638318959).

Almost surely, 2^{10233214005200} is an apocalyptic number.

10233214005200 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 10233214005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107448706310).

10233214005200 is an abundant number, since it is smaller than the sum of its proper divisors (15981683407420).

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

10233214005200 is a wasteful number, since it uses less digits than its factorization.

10233214005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730742 (or 730712 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 10233214005200 its reverse (250041233201), we get a palindrome (10483255238401).

The spelling of 10233214005200 in words is "ten trillion, two hundred thirty-three billion, two hundred fourteen million, five thousand, two hundred".