202001120 has 48 divisors (see below), whose sum is σ = 481033728. Its totient is φ = 80156160.

The previous prime is 202001117. The next prime is 202001131. The reversal of 202001120 is 21100202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 202001098 and 202001107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15350 + ... + 25290.

It is an arithmetic number, because the mean of its divisors is an integer number (10021536).

Almost surely, 2^202001120 is an apocalyptic number.

202001120 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 202001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240516864).

202001120 is an abundant number, since it is smaller than the sum of its proper divisors (279032608).

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

202001120 is a wasteful number, since it uses less digits than its factorization.

202001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10083 (or 10075 counting only the distinct ones).

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

The square root of 202001120 is about 14212.7098049598. The cubic root of 202001120 is about 586.7475152581.

Adding to 202001120 its reverse (21100202), we get a palindrome (223101322).

The spelling of 202001120 in words is "two hundred two million, one thousand, one hundred twenty".