20121002010120 has 128 divisors (see below), whose sum is σ = 66065050275840. Its totient is φ = 4861929911040.

The previous prime is 20121002010071. The next prime is 20121002010199. The reversal of 20121002010120 is 2101020012102.

It is a super-3 number, since 3×20121002010120³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20121002010096 and 20121002010105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24420792 + ... + 25231271.

It is an arithmetic number, because the mean of its divisors is an integer number (516133205280).

Almost surely, 2^{20121002010120} is an apocalyptic number.

20121002010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121002010120 is an abundant number, since it is smaller than the sum of its proper divisors (45944048265720).

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

20121002010120 is a wasteful number, since it uses less digits than its factorization.

20121002010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49652395 (or 49652391 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20121002010120 its reverse (2101020012102), we get a palindrome (22222022022222).

The spelling of 20121002010120 in words is "twenty trillion, one hundred twenty-one billion, two million, ten thousand, one hundred twenty".