201333123120 has 160 divisors (see below), whose sum is σ = 641724641280. Its totient is φ = 52178826240.

The previous prime is 201333123107. The next prime is 201333123133. The reversal of 201333123120 is 21321333102.

It is an interprime number because it is at equal distance from previous prime (201333123107) and next prime (201333123133).

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, 8148385 + ... + 8173055.

It is an arithmetic number, because the mean of its divisors is an integer number (4010779008).

Almost surely, 2^201333123120 is an apocalyptic number.

201333123120 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 201333123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320862320640).

201333123120 is an abundant number, since it is smaller than the sum of its proper divisors (440391518160).

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

201333123120 is a wasteful number, since it uses less digits than its factorization.

201333123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25643 (or 25637 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 201333123120 its reverse (21321333102), we get a palindrome (222654456222).

The spelling of 201333123120 in words is "two hundred one billion, three hundred thirty-three million, one hundred twenty-three thousand, one hundred twenty".