121111001012 has 24 divisors (see below), whose sum is σ = 212306096520. Its totient is φ = 60452188160.

The previous prime is 121111000999. The next prime is 121111001017. The reversal of 121111001012 is 210100111121.

121111001012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38807424016 + 82303576996 = 196996^2 + 286886^2 .

It is a super-2 number, since 2×121111001012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121111000984 and 121111001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111001017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8310212 + ... + 8324772.

It is an arithmetic number, because the mean of its divisors is an integer number (8846087355).

Almost surely, 2^121111001012 is an apocalyptic number.

It is an amenable number.

121111001012 is a deficient number, since it is larger than the sum of its proper divisors (91195095508).

121111001012 is a wasteful number, since it uses less digits than its factorization.

121111001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17971 (or 17969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121111001012 its reverse (210100111121), we get a palindrome (331211112133).

The spelling of 121111001012 in words is "one hundred twenty-one billion, one hundred eleven million, one thousand, twelve".