900011201022000 has 640 divisors, whose sum is σ = 3253108445233920. Its totient is φ = 237839796633600.

The previous prime is 900011201021993. The next prime is 900011201022007. The reversal of 900011201022000 is 220102110009.

It is an interprime number because it is at equal distance from previous prime (900011201021993) and next prime (900011201022007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (900011201022007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69056327484 + ... + 69056340516.

It is an arithmetic number, because the mean of its divisors is an integer number (5082981945678).

Almost surely, 2^{900011201022000} is an apocalyptic number.

900011201022000 is a gapful number since it is divisible by the number (90) 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 900011201022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626554222616960).

900011201022000 is an abundant number, since it is smaller than the sum of its proper divisors (2353097244211920).

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

900011201022000 is a wasteful number, since it uses less digits than its factorization.

900011201022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24495 (or 24473 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 900011201022000 its reverse (220102110009), we get a palindrome (900231303132009).

The spelling of 900011201022000 in words is "nine hundred trillion, eleven billion, two hundred one million, twenty-two thousand".