121755258240 has 1024 divisors, whose sum is σ = 514047098880. Its totient is φ = 23762534400.

The previous prime is 121755258227. The next prime is 121755258257. The reversal of 121755258240 is 42852557121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 121755258192 and 121755258201.

It is a congruent number.

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, 207419227 + ... + 207419813.

It is an arithmetic number, because the mean of its divisors is an integer number (501999120).

Almost surely, 2^121755258240 is an apocalyptic number.

121755258240 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 121755258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257023549440).

121755258240 is an abundant number, since it is smaller than the sum of its proper divisors (392291840640).

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

121755258240 is a wasteful number, since it uses less digits than its factorization.

121755258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The spelling of 121755258240 in words is "one hundred twenty-one billion, seven hundred fifty-five million, two hundred fifty-eight thousand, two hundred forty".