202041312 has 96 divisors (see below), whose sum is σ = 594324864. Its totient is φ = 59558400.

The previous prime is 202041299. The next prime is 202041313. The reversal of 202041312 is 213140202.

202041312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 202041291 and 202041300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202041313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36487 + ... + 41657.

It is an arithmetic number, because the mean of its divisors is an integer number (6190884).

Almost surely, 2^202041312 is an apocalyptic number.

202041312 is a gapful number since it is divisible by the number (22) 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 202041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297162432).

202041312 is an abundant number, since it is smaller than the sum of its proper divisors (392283552).

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

202041312 is a wasteful number, since it uses less digits than its factorization.

202041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 202041312 is about 14214.1236803399. The cubic root of 202041312 is about 586.7864275708.

Adding to 202041312 its reverse (213140202), we get a palindrome (415181514).

The spelling of 202041312 in words is "two hundred two million, forty-one thousand, three hundred twelve".