121305768480 has 960 divisors, whose sum is σ = 500550085728. Its totient is φ = 27391426560.

The previous prime is 121305768473. The next prime is 121305768487. The reversal of 121305768480 is 84867503121.

121305768480 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 576 + 8 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121305768473) and next prime (121305768487).

It can be written as a sum of positive squares in 16 ways, for example, as 10008801936 + 111296966544 = 100044^2 + 333612^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (121305768487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117430044 + ... + 117431076.

Almost surely, 2^121305768480 is an apocalyptic number.

121305768480 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 121305768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250275042864).

121305768480 is an abundant number, since it is smaller than the sum of its proper divisors (379244317248).

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

121305768480 is a wasteful number, since it uses less digits than its factorization.

121305768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 121305768480 in words is "one hundred twenty-one billion, three hundred five million, seven hundred sixty-eight thousand, four hundred eighty".