121760714689920 has 1536 divisors, whose sum is σ = 457708349030400. Its totient is φ = 29715238748160.

The previous prime is 121760714689877. The next prime is 121760714689921. The reversal of 121760714689920 is 29986417067121.

121760714689920 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 60 + 7 + 1 + 468 + 99 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121760714689921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211023768672 + ... + 211023769248.

It is an arithmetic number, because the mean of its divisors is an integer number (297987206400).

Almost surely, 2^{121760714689920} is an apocalyptic number.

121760714689920 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 121760714689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228854174515200).

121760714689920 is an abundant number, since it is smaller than the sum of its proper divisors (335947634340480).

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

121760714689920 is a wasteful number, since it uses less digits than its factorization.

121760714689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 121760714689920 in words is "one hundred twenty-one trillion, seven hundred sixty billion, seven hundred fourteen million, six hundred eighty-nine thousand, nine hundred twenty".