90120011200 has 84 divisors (see below), whose sum is σ = 222028847280. Its totient is φ = 36002928640.

The previous prime is 90120011183. The next prime is 90120011207. The reversal of 90120011200 is 211002109.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90120011207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1259589 + ... + 1329211.

Almost surely, 2^90120011200 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 90120011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111014423640).

90120011200 is an abundant number, since it is smaller than the sum of its proper divisors (131908836080).

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

90120011200 is a wasteful number, since it uses less digits than its factorization.

90120011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70454 (or 70439 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 90120011200 its reverse (211002109), we get a palindrome (90331013309).

The spelling of 90120011200 in words is "ninety billion, one hundred twenty million, eleven thousand, two hundred".