121929984 has 216 divisors, whose sum is σ = 407508192. Its totient is φ = 34652160.

The previous prime is 121929979. The next prime is 121929989. The reversal of 121929984 is 489929121.

It is an interprime number because it is at equal distance from previous prime (121929979) and next prime (121929989).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (121929989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430707 + ... + 430989.

It is an arithmetic number, because the mean of its divisors is an integer number (1886612).

Almost surely, 2^121929984 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 121929984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203754096).

121929984 is an abundant number, since it is smaller than the sum of its proper divisors (285578208).

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

121929984 is a wasteful number, since it uses less digits than its factorization.

121929984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 121929984 is about 11042.1910869175. The cubic root of 121929984 is about 495.8726693616.

The spelling of 121929984 in words is "one hundred twenty-one million, nine hundred twenty-nine thousand, nine hundred eighty-four".