2220010122000 has 640 divisors, whose sum is σ = 8270107822080. Its totient is φ = 506684160000.

The previous prime is 2220010121941. The next prime is 2220010122007. The reversal of 2220010122000 is 2210100222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2220010122007) 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, 204396570 + ... + 204407430.

It is an arithmetic number, because the mean of its divisors is an integer number (12922043472).

Almost surely, 2^{2220010122000} is an apocalyptic number.

2220010122000 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 2220010122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135053911040).

2220010122000 is an abundant number, since it is smaller than the sum of its proper divisors (6050097700080).

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

2220010122000 is a wasteful number, since it uses less digits than its factorization.

2220010122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11080 (or 11064 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2220010122000 its reverse (2210100222), we get a palindrome (2222220222222).

The spelling of 2220010122000 in words is "two trillion, two hundred twenty billion, ten million, one hundred twenty-two thousand".