120010012120212 has 96 divisors (see below), whose sum is σ = 291204619173888. Its totient is φ = 38443462493184.

The previous prime is 120010012120211. The next prime is 120010012120213. The reversal of 120010012120212 is 212021210010021.

It is an interprime number because it is at equal distance from previous prime (120010012120211) and next prime (120010012120213).

It is a super-2 number, since 2×120010012120212² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120010012120191 and 120010012120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010012120211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1688488 + ... + 15584319.

It is an arithmetic number, because the mean of its divisors is an integer number (3033381449728).

Almost surely, 2^{120010012120212} is an apocalyptic number.

120010012120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120010012120212 is an abundant number, since it is smaller than the sum of its proper divisors (171194607053676).

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

120010012120212 is a wasteful number, since it uses less digits than its factorization.

120010012120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17273085 (or 17273083 counting only the distinct ones).

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

Adding to 120010012120212 its reverse (212021210010021), we get a palindrome (332031222130233).

The spelling of 120010012120212 in words is "one hundred twenty trillion, ten billion, twelve million, one hundred twenty thousand, two hundred twelve".