121693720320 has 432 divisors, whose sum is σ = 435758266944. Its totient is φ = 31334400000.

The previous prime is 121693720319. The next prime is 121693720333. The reversal of 121693720320 is 23027396121.

121693720320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47703045 + ... + 47705595.

It is an arithmetic number, because the mean of its divisors is an integer number (1008699692).

Almost surely, 2^121693720320 is an apocalyptic number.

121693720320 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 121693720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217879133472).

121693720320 is an abundant number, since it is smaller than the sum of its proper divisors (314064546624).

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

121693720320 is a wasteful number, since it uses less digits than its factorization.

121693720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 121693720320 in words is "one hundred twenty-one billion, six hundred ninety-three million, seven hundred twenty thousand, three hundred twenty".