200123101321120 has 96 divisors (see below), whose sum is σ = 489199852829520. Its totient is φ = 77272188026880.

The previous prime is 200123101321079. The next prime is 200123101321127. The reversal of 200123101321120 is 21123101321002.

It can be written as a sum of positive squares in 8 ways, for example, as 143533530380304 + 56589570940816 = 11980548^2 + 7522604^2 .

It is a super-2 number, since 2×200123101321120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200123101321127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16774704 + ... + 26108176.

Almost surely, 2^{200123101321120} is an apocalyptic number.

200123101321120 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 200123101321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244599926414760).

200123101321120 is an abundant number, since it is smaller than the sum of its proper divisors (289076751508400).

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

200123101321120 is a wasteful number, since it uses less digits than its factorization.

200123101321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338138 (or 9338130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 200123101321120 its reverse (21123101321002), we get a palindrome (221246202642122).

The spelling of 200123101321120 in words is "two hundred trillion, one hundred twenty-three billion, one hundred one million, three hundred twenty-one thousand, one hundred twenty".