120211002012012 has 192 divisors, whose sum is σ = 293096863825920. Its totient is φ = 38303786476800.

The previous prime is 120211002011953. The next prime is 120211002012019. The reversal of 120211002012012 is 210210200112021.

It is a super-2 number, since 2×120211002012012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120211002011982 and 120211002012000.

It is not an unprimeable number, because it can be changed into a prime (120211002012019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32746116937 + ... + 32746120607.

It is an arithmetic number, because the mean of its divisors is an integer number (1526546165760).

Almost surely, 2^{120211002012012} is an apocalyptic number.

120211002012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120211002012012 is an abundant number, since it is smaller than the sum of its proper divisors (172885861813908).

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

120211002012012 is a wasteful number, since it uses less digits than its factorization.

120211002012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6084 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120211002012012 its reverse (210210200112021), we get a palindrome (330421202124033).

The spelling of 120211002012012 in words is "one hundred twenty trillion, two hundred eleven billion, two million, twelve thousand, twelve".