121011121002012 has 96 divisors (see below), whose sum is σ = 306831660871680. Its totient is φ = 37008204119040.

The previous prime is 121011121001977. The next prime is 121011121002019. The reversal of 121011121002012 is 210200121110121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121011121001982 and 121011121002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121011121002019) 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, 61614687 + ... + 63548342.

It is an arithmetic number, because the mean of its divisors is an integer number (3196163134080).

Almost surely, 2^{121011121002012} is an apocalyptic number.

121011121002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121011121002012 is an abundant number, since it is smaller than the sum of its proper divisors (185820539869668).

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

121011121002012 is a wasteful number, since it uses less digits than its factorization.

121011121002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125163203 (or 125163201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121011121002012 its reverse (210200121110121), we get a palindrome (331211242112133).

The spelling of 121011121002012 in words is "one hundred twenty-one trillion, eleven billion, one hundred twenty-one million, two thousand, twelve".