121131147168 has 192 divisors, whose sum is σ = 370524672000. Its totient is φ = 38426192640.

The previous prime is 121131147157. The next prime is 121131147211. The reversal of 121131147168 is 861741131121.

121131147168 is a `hidden beast` number, since 1 + 2 + 113 + 11 + 471 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3939213 + ... + 3969843.

It is an arithmetic number, because the mean of its divisors is an integer number (1929816000).

Almost surely, 2^121131147168 is an apocalyptic number.

121131147168 is a gapful number since it is divisible by the number (18) 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 121131147168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185262336000).

121131147168 is an abundant number, since it is smaller than the sum of its proper divisors (249393524832).

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

121131147168 is a wasteful number, since it uses less digits than its factorization.

121131147168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30872 (or 30858 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

Adding to 121131147168 its reverse (861741131121), we get a palindrome (982872278289).

The spelling of 121131147168 in words is "one hundred twenty-one billion, one hundred thirty-one million, one hundred forty-seven thousand, one hundred sixty-eight".