200234123321120 has 192 divisors, whose sum is σ = 542854945301760. Its totient is φ = 68370015916032.

The previous prime is 200234123321119. The next prime is 200234123321147. The reversal of 200234123321120 is 21123321432002.

200234123321120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200234123321120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265851302 + ... + 266603418.

It is an arithmetic number, because the mean of its divisors is an integer number (2827369506780).

Almost surely, 2^{200234123321120} is an apocalyptic number.

200234123321120 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 200234123321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271427472650880).

200234123321120 is an abundant number, since it is smaller than the sum of its proper divisors (342620821980640).

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

200234123321120 is a wasteful number, since it uses less digits than its factorization.

200234123321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753115 (or 753107 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 200234123321120 its reverse (21123321432002), we get a palindrome (221357444753122).

The spelling of 200234123321120 in words is "two hundred trillion, two hundred thirty-four billion, one hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty".