120012121000212 has 72 divisors (see below), whose sum is σ = 325748680387200. Its totient is φ = 34289020080000.

The previous prime is 120012121000207. The next prime is 120012121000271. The reversal of 120012121000212 is 212000121210021.

It is a super-2 number, since 2×120012121000212² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120012121000191 and 120012121000200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202564789 + ... + 203156387.

It is an arithmetic number, because the mean of its divisors is an integer number (4524287227600).

Almost surely, 2^{120012121000212} is an apocalyptic number.

120012121000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120012121000212 is an abundant number, since it is smaller than the sum of its proper divisors (205736559386988).

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

120012121000212 is a wasteful number, since it uses less digits than its factorization.

120012121000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936621 (or 936612 counting only the distinct ones).

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

Adding to 120012121000212 its reverse (212000121210021), we get a palindrome (332012242210233).

The spelling of 120012121000212 in words is "one hundred twenty trillion, twelve billion, one hundred twenty-one million, two hundred twelve", and thus it is an aban number.