120893665355520 has 288 divisors, whose sum is σ = 399392257474560. Its totient is φ = 31141338071040.

The previous prime is 120893665355471. The next prime is 120893665355531. The reversal of 120893665355520 is 25553566398021.

120893665355520 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16688385 + ... + 22809855.

Almost surely, 2^{120893665355520} is an apocalyptic number.

120893665355520 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 120893665355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199696128737280).

120893665355520 is an abundant number, since it is smaller than the sum of its proper divisors (278498592119040).

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

120893665355520 is a wasteful number, since it uses less digits than its factorization.

120893665355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121671 (or 6121657 counting only the distinct ones).

The product of its (nonzero) digits is 58320000, while the sum is 60.

The spelling of 120893665355520 in words is "one hundred twenty trillion, eight hundred ninety-three billion, six hundred sixty-five million, three hundred fifty-five thousand, five hundred twenty".