2220212220012 has 288 divisors, whose sum is σ = 5956218987264. Its totient is φ = 696496320000.

The previous prime is 2220212219993. The next prime is 2220212220029. The reversal of 2220212220012 is 2100222120222.

2220212220012 is a `hidden beast` number, since 2 + 220 + 212 + 220 + 0 + 12 = 666.

It is a super-2 number, since 2×2220212220012² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1895996187 + ... + 1895997357.

It is an arithmetic number, because the mean of its divisors is an integer number (20681315928).

Almost surely, 2^{2220212220012} 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 2220212220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978109493632).

2220212220012 is an abundant number, since it is smaller than the sum of its proper divisors (3736006767252).

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

2220212220012 is a wasteful number, since it uses less digits than its factorization.

2220212220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2220212220012 its reverse (2100222120222), we get a palindrome (4320434340234).

The spelling of 2220212220012 in words is "two trillion, two hundred twenty billion, two hundred twelve million, two hundred twenty thousand, twelve".