900201120 has 384 divisors, whose sum is σ = 3590770176. Its totient is φ = 184467456.

The previous prime is 900201097. The next prime is 900201161. The reversal of 900201120 is 21102009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 900201120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615882 + ... + 1616438.

It is an arithmetic number, because the mean of its divisors is an integer number (9350964).

Almost surely, 2^900201120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795385088).

900201120 is an abundant number, since it is smaller than the sum of its proper divisors (2690569056).

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

900201120 is a wasteful number, since it uses less digits than its factorization.

900201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 900201120 is about 30003.3518127559. The cubic root of 900201120 is about 965.5612974807.

Adding to 900201120 its reverse (21102009), we get a palindrome (921303129).

The spelling of 900201120 in words is "nine hundred million, two hundred one thousand, one hundred twenty".