121439492928 has 336 divisors, whose sum is σ = 398431365696. Its totient is φ = 35033333760.

The previous prime is 121439492869. The next prime is 121439492929. The reversal of 121439492928 is 829294934121.

It is a happy number.

121439492928 is a `hidden beast` number, since 1 + 2 + 143 + 9 + 492 + 9 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121439492929) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36023083 + ... + 36026453.

It is an arithmetic number, because the mean of its divisors is an integer number (1185807636).

Almost surely, 2^121439492928 is an apocalyptic number.

121439492928 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 121439492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199215682848).

121439492928 is an abundant number, since it is smaller than the sum of its proper divisors (276991872768).

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

121439492928 is a wasteful number, since it uses less digits than its factorization.

121439492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3689 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 121439492928 in words is "one hundred twenty-one billion, four hundred thirty-nine million, four hundred ninety-two thousand, nine hundred twenty-eight".