121992141984 has 192 divisors, whose sum is σ = 348843366144. Its totient is φ = 37182652416.

The previous prime is 121992141949. The next prime is 121992142033. The reversal of 121992141984 is 489141299121.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8902242 + ... + 8915934.

It is an arithmetic number, because the mean of its divisors is an integer number (1816892532).

Almost surely, 2^121992141984 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 121992141984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174421683072).

121992141984 is an abundant number, since it is smaller than the sum of its proper divisors (226851224160).

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

121992141984 is a wasteful number, since it uses less digits than its factorization.

121992141984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13879 (or 13871 counting only the distinct ones).

The product of its digits is 373248, while the sum is 51.

The spelling of 121992141984 in words is "one hundred twenty-one billion, nine hundred ninety-two million, one hundred forty-one thousand, nine hundred eighty-four".