202120040 has 32 divisors (see below), whose sum is σ = 455940360. Its totient is φ = 80640000.

The previous prime is 202119989. The next prime is 202120091. The reversal of 202120040 is 40021202.

It is an interprime number because it is at equal distance from previous prime (202119989) and next prime (202120091).

It can be written as a sum of positive squares in 4 ways, for example, as 194156356 + 7963684 = 13934^2 + 2822^2 .

It is a super-3 number, since 3×202120040³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9740 + ... + 22340.

Almost surely, 2^202120040 is an apocalyptic number.

202120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120040 is an abundant number, since it is smaller than the sum of its proper divisors (253820320).

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

202120040 is a wasteful number, since it uses less digits than its factorization.

202120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13013 (or 13009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 202120040 is about 14216.8927688156. The cubic root of 202120040 is about 586.8626339703.

Adding to 202120040 its reverse (40021202), we get a palindrome (242141242).

The spelling of 202120040 in words is "two hundred two million, one hundred twenty thousand, forty".