120211011220212 has 216 divisors, whose sum is σ = 335473178531400. Its totient is φ = 36267442759680.

The previous prime is 120211011220211. The next prime is 120211011220213. The reversal of 120211011220212 is 212022110112021.

120211011220212 is a `hidden beast` number, since 1 + 20 + 211 + 0 + 1 + 1 + 220 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (120211011220211) and next prime (120211011220213).

It can be written as a sum of positive squares in 4 ways, for example, as 51418020644496 + 68792990575716 = 7170636^2 + 8294154^2 .

It is a super-3 number, since 3×120211011220212³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211011220211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1117055464 + ... + 1117163072.

It is an arithmetic number, because the mean of its divisors is an integer number (1553116567275).

Almost surely, 2^{120211011220212} is an apocalyptic number.

120211011220212 is a gapful number since it is divisible by the number (12) 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 120211011220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167736589265700).

120211011220212 is an abundant number, since it is smaller than the sum of its proper divisors (215262167311188).

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

120211011220212 is a wasteful number, since it uses less digits than its factorization.

120211011220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108767 (or 108751 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120211011220212 its reverse (212022110112021), we get a palindrome (332233121332233).

The spelling of 120211011220212 in words is "one hundred twenty trillion, two hundred eleven billion, eleven million, two hundred twenty thousand, two hundred twelve".