121144610240520 has 512 divisors, whose sum is σ = 398305541652480. Its totient is φ = 29344247562240.

The previous prime is 121144610240519. The next prime is 121144610240543. The reversal of 121144610240520 is 25042016441121.

It is a super-3 number, since 3×121144610240520³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65589934237 + ... + 65589936083.

It is an arithmetic number, because the mean of its divisors is an integer number (777940511040).

Almost surely, 2^{121144610240520} is an apocalyptic number.

121144610240520 is a gapful number since it is divisible by the number (10) 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 121144610240520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199152770826240).

121144610240520 is an abundant number, since it is smaller than the sum of its proper divisors (277160931411960).

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

121144610240520 is a wasteful number, since it uses less digits than its factorization.

121144610240520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 121144610240520 its reverse (25042016441121), we get a palindrome (146186626681641).

The spelling of 121144610240520 in words is "one hundred twenty-one trillion, one hundred forty-four billion, six hundred ten million, two hundred forty thousand, five hundred twenty".