121991124384 has 576 divisors, whose sum is σ = 387844329600. Its totient is φ = 37648945152.

The previous prime is 121991124383. The next prime is 121991124401. The reversal of 121991124384 is 483421199121.

121991124384 is a `hidden beast` number, since 12 + 1 + 99 + 112 + 438 + 4 = 666.

121991124384 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (121991124383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 705150922 + ... + 705151094.

It is an arithmetic number, because the mean of its divisors is an integer number (673340850).

Almost surely, 2^121991124384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121991124384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193922164800).

121991124384 is an abundant number, since it is smaller than the sum of its proper divisors (265853205216).

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

121991124384 is a wasteful number, since it uses less digits than its factorization.

121991124384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 121991124384 in words is "one hundred twenty-one billion, nine hundred ninety-one million, one hundred twenty-four thousand, three hundred eighty-four".