120122211022212 has 384 divisors, whose sum is σ = 346864985026560. Its totient is φ = 31587810140160.

The previous prime is 120122211022199. The next prime is 120122211022213. The reversal of 120122211022212 is 212220112221021.

120122211022212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×120122211022212⁵ (a number of 72 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (120122211022213) 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, 19459289158 + ... + 19459295330.

It is an arithmetic number, because the mean of its divisors is an integer number (903294231840).

Almost surely, 2^{120122211022212} is an apocalyptic number.

120122211022212 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 120122211022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173432492513280).

120122211022212 is an abundant number, since it is smaller than the sum of its proper divisors (226742774004348).

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

120122211022212 is a wasteful number, since it uses less digits than its factorization.

120122211022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7451 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 120122211022212 its reverse (212220112221021), we get a palindrome (332342323243233).

The spelling of 120122211022212 in words is "one hundred twenty trillion, one hundred twenty-two billion, two hundred eleven million, twenty-two thousand, two hundred twelve".