121130312112 has 200 divisors, whose sum is σ = 357004575840. Its totient is φ = 39642670080.

The previous prime is 121130312089. The next prime is 121130312119. The reversal of 121130312112 is 211213031121.

121130312112 is a `hidden beast` number, since 1 + 211 + 30 + 312 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (121130312119) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21662437 + ... + 21668027.

Almost surely, 2^121130312112 is an apocalyptic number.

121130312112 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 121130312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178502287920).

121130312112 is an abundant number, since it is smaller than the sum of its proper divisors (235874263728).

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

121130312112 is a wasteful number, since it uses less digits than its factorization.

121130312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5898 counting only the distinct ones).

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

Adding to 121130312112 its reverse (211213031121), we get a palindrome (332343343233).

The spelling of 121130312112 in words is "one hundred twenty-one billion, one hundred thirty million, three hundred twelve thousand, one hundred twelve".