201232041120 has 576 divisors, whose sum is σ = 786977130240. Its totient is φ = 47976192000.

The previous prime is 201232041061. The next prime is 201232041137. The reversal of 201232041120 is 21140232102.

It is a happy number.

201232041120 is a `hidden beast` number, since 2 + 0 + 1 + 232 + 0 + 411 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201232041093 and 201232041102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31882765 + ... + 31889075.

It is an arithmetic number, because the mean of its divisors is an integer number (1366279740).

Almost surely, 2^201232041120 is an apocalyptic number.

201232041120 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 201232041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393488565120).

201232041120 is an abundant number, since it is smaller than the sum of its proper divisors (585745089120).

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

201232041120 is a wasteful number, since it uses less digits than its factorization.

201232041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201232041120 its reverse (21140232102), we get a palindrome (222372273222).

The spelling of 201232041120 in words is "two hundred one billion, two hundred thirty-two million, forty-one thousand, one hundred twenty".