202233540120 has 128 divisors (see below), whose sum is σ = 617804858880. Its totient is φ = 52948224000.

The previous prime is 202233540109. The next prime is 202233540151. The reversal of 202233540120 is 21045332202.

202233540120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202233540120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004075 + ... + 2102565.

It is an arithmetic number, because the mean of its divisors is an integer number (4826600460).

Almost surely, 2^202233540120 is an apocalyptic number.

202233540120 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 202233540120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308902429440).

202233540120 is an abundant number, since it is smaller than the sum of its proper divisors (415571318760).

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

202233540120 is a wasteful number, since it uses less digits than its factorization.

202233540120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98817 (or 98813 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 202233540120 its reverse (21045332202), we get a palindrome (223278872322).

The spelling of 202233540120 in words is "two hundred two billion, two hundred thirty-three million, five hundred forty thousand, one hundred twenty".