212212100220120 has 2048 divisors, whose sum is σ = 983663751168000. Its totient is φ = 39254326272000.

The previous prime is 212212100220079. The next prime is 212212100220199. The reversal of 212212100220120 is 21022001212212.

It is a happy number.

212212100220120 is a `hidden beast` number, since 2 + 1 + 221 + 2 + 100 + 220 + 120 = 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 = 212212100220093 and 212212100220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 30442128235 + ... + 30442135205.

It is an arithmetic number, because the mean of its divisors is an integer number (480304566000).

Almost surely, 2^{212212100220120} is an apocalyptic number.

212212100220120 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 212212100220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491831875584000).

212212100220120 is an abundant number, since it is smaller than the sum of its proper divisors (771451650947880).

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

212212100220120 is a wasteful number, since it uses less digits than its factorization.

212212100220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022 (or 8012 counting only the distinct ones).

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

Adding to 212212100220120 its reverse (21022001212212), we get a palindrome (233234101432332).

The spelling of 212212100220120 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred million, two hundred twenty thousand, one hundred twenty".