120783835454496 has 96 divisors (see below), whose sum is σ = 318831640501248. Its totient is φ = 40036150364160.

The previous prime is 120783835454419. The next prime is 120783835454497. The reversal of 120783835454496 is 694454538387021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×120783835454496² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 120783835454496.

It is not an unprimeable number, because it can be changed into a prime (120783835454497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50108236 + ... + 52463348.

It is an arithmetic number, because the mean of its divisors is an integer number (3321162921888).

It is a 1-persistent number, because it is pandigital, but 2⋅120783835454496 = 241567670908992 is not.

Almost surely, 2^{120783835454496} is an apocalyptic number.

120783835454496 is a gapful number since it is divisible by the number (16) 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 120783835454496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159415820250624).

120783835454496 is an abundant number, since it is smaller than the sum of its proper divisors (198047805046752).

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

120783835454496 is a wasteful number, since it uses less digits than its factorization.

120783835454496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358114 (or 2358106 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 69.

The spelling of 120783835454496 in words is "one hundred twenty trillion, seven hundred eighty-three billion, eight hundred thirty-five million, four hundred fifty-four thousand, four hundred ninety-six".