121110002001012 has 48 divisors (see below), whose sum is σ = 282674440742400. Its totient is φ = 40357939221600.

The previous prime is 121110002000957. The next prime is 121110002001019. The reversal of 121110002001012 is 210100200011121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121110002001019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2257845289 + ... + 2257898927.

It is an arithmetic number, because the mean of its divisors is an integer number (5889050848800).

Almost surely, 2^{121110002001012} is an apocalyptic number.

121110002001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121110002001012 is an abundant number, since it is smaller than the sum of its proper divisors (161564438741388).

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

121110002001012 is a wasteful number, since it uses less digits than its factorization.

121110002001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106356 (or 106354 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121110002001012 its reverse (210100200011121), we get a palindrome (331210202012133).

The spelling of 121110002001012 in words is "one hundred twenty-one trillion, one hundred ten billion, two million, one thousand, twelve".