121753748160 has 896 divisors, whose sum is σ = 485190881280. Its totient is φ = 28488499200.

The previous prime is 121753748141. The next prime is 121753748203. The reversal of 121753748160 is 61847357121.

121753748160 is a `hidden beast` number, since 1 + 2 + 17 + 537 + 48 + 1 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 433287220 + ... + 433287500.

It is an arithmetic number, because the mean of its divisors is an integer number (541507680).

Almost surely, 2^121753748160 is an apocalyptic number.

121753748160 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 121753748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242595440640).

121753748160 is an abundant number, since it is smaller than the sum of its proper divisors (363437133120).

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

121753748160 is a wasteful number, since it uses less digits than its factorization.

121753748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 121753748160 in words is "one hundred twenty-one billion, seven hundred fifty-three million, seven hundred forty-eight thousand, one hundred sixty".