121120102012 has 96 divisors (see below), whose sum is σ = 262452887424. Its totient is φ = 47626444800.

The previous prime is 121120102007. The next prime is 121120102013. The reversal of 121120102012 is 210201021121.

It is a super-2 number, since 2×121120102012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 121120101983 and 121120102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120102013) 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, 74718562 + ... + 74720182.

It is an arithmetic number, because the mean of its divisors is an integer number (2733884244).

Almost surely, 2^121120102012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121120102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131226443712).

121120102012 is an abundant number, since it is smaller than the sum of its proper divisors (141332785412).

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

121120102012 is a wasteful number, since it uses less digits than its factorization.

121120102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121120102012 its reverse (210201021121), we get a palindrome (331321123133).

The spelling of 121120102012 in words is "one hundred twenty-one billion, one hundred twenty million, one hundred two thousand, twelve".