120122121000012 has 96 divisors (see below), whose sum is σ = 292969048780800. Its totient is φ = 38234670600192.

The previous prime is 120122120999929. The next prime is 120122121000019. The reversal of 120122121000012 is 210000121221021.

It is a junction number, because it is equal to n+sod(n) for n = 120122120999955 and 120122121000000.

It is not an unprimeable number, because it can be changed into a prime (120122121000019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412408453 + ... + 412699619.

It is an arithmetic number, because the mean of its divisors is an integer number (3051760924800).

Almost surely, 2^{120122121000012} is an apocalyptic number.

120122121000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120122121000012 is an abundant number, since it is smaller than the sum of its proper divisors (172846927780788).

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

120122121000012 is a wasteful number, since it uses less digits than its factorization.

120122121000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293735 (or 293733 counting only the distinct ones).

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

Adding to 120122121000012 its reverse (210000121221021), we get a palindrome (330122242221033).

The spelling of 120122121000012 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, twelve", and thus it is an aban number.