202120000 has 140 divisors (see below), whose sum is σ = 520533376. Its totient is φ = 77760000.

The previous prime is 202119989. The next prime is 202120091. The reversal of 202120000 is 21202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1239919 + ... + 1240081.

Almost surely, 2^202120000 is an apocalyptic number.

202120000 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 202120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260266688).

202120000 is an abundant number, since it is smaller than the sum of its proper divisors (318413376).

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

202120000 is an equidigital number, since it uses as much as digits as its factorization.

202120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 202120000 is about 14216.8913620383. The cubic root of 202120000 is about 586.8625952565.

Adding to 202120000 its reverse (21202), we get a palindrome (202141202).

The spelling of 202120000 in words is "two hundred two million, one hundred twenty thousand".