12200211090 has 96 divisors (see below), whose sum is σ = 32931924480. Its totient is φ = 3249777024.

The previous prime is 12200210963. The next prime is 12200211091. The reversal of 12200211090 is 9011200221.

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 (12200211091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741247 + ... + 2745693.

It is an arithmetic number, because the mean of its divisors is an integer number (343040880).

Almost surely, 2^12200211090 is an apocalyptic number.

12200211090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200211090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465962240).

12200211090 is an abundant number, since it is smaller than the sum of its proper divisors (20731713390).

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

12200211090 is a wasteful number, since it uses less digits than its factorization.

12200211090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 5586 counting only the distinct ones).

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

The spelling of 12200211090 in words is "twelve billion, two hundred million, two hundred eleven thousand, ninety".