2212202112120 has 1024 divisors, whose sum is σ = 10103063040000. Its totient is φ = 424308326400.

The previous prime is 2212202112083. The next prime is 2212202112181. The reversal of 2212202112120 is 212112022122.

It is a happy number.

2212202112120 is a `hidden beast` number, since 2 + 21 + 220 + 211 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2212202112093 and 2212202112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52952040 + ... + 52993800.

It is an arithmetic number, because the mean of its divisors is an integer number (9866272500).

Almost surely, 2^{2212202112120} is an apocalyptic number.

2212202112120 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 2212202112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051531520000).

2212202112120 is an abundant number, since it is smaller than the sum of its proper divisors (7890860927880).

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

2212202112120 is a wasteful number, since it uses less digits than its factorization.

2212202112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41826 (or 41802 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212202112120 its reverse (212112022122), we get a palindrome (2424314134242).

The spelling of 2212202112120 in words is "two trillion, two hundred twelve billion, two hundred two million, one hundred twelve thousand, one hundred twenty".