2122112002220 has 96 divisors (see below), whose sum is σ = 5362172766720. Its totient is φ = 689152803840.

The previous prime is 2122112002217. The next prime is 2122112002229. The reversal of 2122112002220 is 222002112212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2122112002229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14014715 + ... + 14165325.

It is an arithmetic number, because the mean of its divisors is an integer number (55855966320).

Almost surely, 2^{2122112002220} is an apocalyptic number.

2122112002220 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 2122112002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681086383360).

2122112002220 is an abundant number, since it is smaller than the sum of its proper divisors (3240060764500).

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

2122112002220 is a wasteful number, since it uses less digits than its factorization.

2122112002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155943 (or 155941 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2122112002220 its reverse (222002112212), we get a palindrome (2344114114432).

The spelling of 2122112002220 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, two thousand, two hundred twenty".