121546519191552 has 1792 divisors, whose sum is σ = 441868792135680. Its totient is φ = 28818328780800.

The previous prime is 121546519191511. The next prime is 121546519191569. The reversal of 121546519191552 is 255191915645121.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 121546519191492 and 121546519191501.

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 127 ways as a sum of consecutive naturals, for example, 69814197402 + ... + 69814199142.

It is an arithmetic number, because the mean of its divisors is an integer number (246578567040).

Almost surely, 2^{121546519191552} is an apocalyptic number.

121546519191552 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 121546519191552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220934396067840).

121546519191552 is an abundant number, since it is smaller than the sum of its proper divisors (320322272944128).

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

121546519191552 is a wasteful number, since it uses less digits than its factorization.

121546519191552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1869 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 57.

The spelling of 121546519191552 in words is "one hundred twenty-one trillion, five hundred forty-six billion, five hundred nineteen million, one hundred ninety-one thousand, five hundred fifty-two".