121600144512 has 960 divisors, whose sum is σ = 464080921920. Its totient is φ = 30929817600.

The previous prime is 121600144487. The next prime is 121600144513. The reversal of 121600144512 is 215441006121.

121600144512 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 0 + 0 + 144 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121600144513) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 535683343 + ... + 535683569.

It is an arithmetic number, because the mean of its divisors is an integer number (483417627).

Almost surely, 2^121600144512 is an apocalyptic number.

121600144512 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 121600144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232040460960).

121600144512 is an abundant number, since it is smaller than the sum of its proper divisors (342480777408).

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

121600144512 is a wasteful number, since it uses less digits than its factorization.

121600144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 121600144512 in words is "one hundred twenty-one billion, six hundred million, one hundred forty-four thousand, five hundred twelve".