121504848192 has 1344 divisors, whose sum is σ = 474889519104. Its totient is φ = 28844605440.

The previous prime is 121504848173. The next prime is 121504848211. The reversal of 121504848192 is 291848405121.

121504848192 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 0 + 484 + 81 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (121504848173) and next prime (121504848211).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2585209513 + ... + 2585209559.

It is an arithmetic number, because the mean of its divisors is an integer number (353340416).

Almost surely, 2^121504848192 is an apocalyptic number.

121504848192 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 121504848192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237444759552).

121504848192 is an abundant number, since it is smaller than the sum of its proper divisors (353384670912).

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

121504848192 is a wasteful number, since it uses less digits than its factorization.

121504848192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 121504848192 in words is "one hundred twenty-one billion, five hundred four million, eight hundred forty-eight thousand, one hundred ninety-two".