121020012012 has 96 divisors (see below), whose sum is σ = 310511722752. Its totient is φ = 36530436096.

The previous prime is 121020011993. The next prime is 121020012013. The reversal of 121020012012 is 210210020121.

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

It is not an unprimeable number, because it can be changed into a prime (121020012013) 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, 484768 + ... + 690680.

It is an arithmetic number, because the mean of its divisors is an integer number (3234497112).

Almost surely, 2^121020012012 is an apocalyptic number.

121020012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121020012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155255861376).

121020012012 is an abundant number, since it is smaller than the sum of its proper divisors (189491710740).

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

121020012012 is a wasteful number, since it uses less digits than its factorization.

121020012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206047 (or 206045 counting only the distinct ones).

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

Adding to 121020012012 its reverse (210210020121), we get a palindrome (331230032133).

The spelling of 121020012012 in words is "one hundred twenty-one billion, twenty million, twelve thousand, twelve".