121311023112 has 320 divisors, whose sum is σ = 380874700800. Its totient is φ = 35887380480.

The previous prime is 121311023077. The next prime is 121311023131. The reversal of 121311023112 is 211320113121.

121311023112 is a `hidden beast` number, since 121 + 311 + 0 + 231 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13732537 + ... + 13741367.

It is an arithmetic number, because the mean of its divisors is an integer number (1190233440).

Almost surely, 2^121311023112 is an apocalyptic number.

121311023112 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 121311023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190437350400).

121311023112 is an abundant number, since it is smaller than the sum of its proper divisors (259563677688).

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

121311023112 is a wasteful number, since it uses less digits than its factorization.

121311023112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121311023112 its reverse (211320113121), we get a palindrome (332631136233).

Subtracting 121311023112 from its reverse (211320113121), we obtain a palindrome (90009090009).

The spelling of 121311023112 in words is "one hundred twenty-one billion, three hundred eleven million, twenty-three thousand, one hundred twelve".