235201120 has 192 divisors, whose sum is σ = 734178816. Its totient is φ = 68935680.

The previous prime is 235201117. The next prime is 235201129. The reversal of 235201120 is 21102532.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 235201094 and 235201103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235201129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208879 + ... + 210001.

It is an arithmetic number, because the mean of its divisors is an integer number (3823848).

Almost surely, 2^235201120 is an apocalyptic number.

235201120 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 235201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367089408).

235201120 is an abundant number, since it is smaller than the sum of its proper divisors (498977696).

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

235201120 is a wasteful number, since it uses less digits than its factorization.

235201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 235201120 is about 15336.2681249383. The cubic root of 235201120 is about 617.2765734327.

Adding to 235201120 its reverse (21102532), we get a palindrome (256303652).

The spelling of 235201120 in words is "two hundred thirty-five million, two hundred one thousand, one hundred twenty".