121759460160 has 448 divisors, whose sum is σ = 442423296000. Its totient is φ = 28122882048.

The previous prime is 121759460159. The next prime is 121759460167. The reversal of 121759460160 is 61064957121.

It is a super-2 number, since 2×121759460160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121759460167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25369441 + ... + 25374239.

It is an arithmetic number, because the mean of its divisors is an integer number (987552000).

Almost surely, 2^121759460160 is an apocalyptic number.

121759460160 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 121759460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221211648000).

121759460160 is an abundant number, since it is smaller than the sum of its proper divisors (320663835840).

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

121759460160 is a wasteful number, since it uses less digits than its factorization.

121759460160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4958 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 121759460160 in words is "one hundred twenty-one billion, seven hundred fifty-nine million, four hundred sixty thousand, one hundred sixty".