120755191840416 has 1920 divisors, whose sum is σ = 456780830736384. Its totient is φ = 30487493836800.

The previous prime is 120755191840411. The next prime is 120755191840429. The reversal of 120755191840416 is 614048191557021.

It is a happy number.

120755191840416 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 5 + 519 + 1 + 84 + 0 + 41 + 6 = 666.

It is a super-3 number, since 3×120755191840416³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (120755191840411) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 90998636745 + ... + 90998638071.

Almost surely, 2^{120755191840416} is an apocalyptic number.

120755191840416 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 120755191840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228390415368192).

120755191840416 is an abundant number, since it is smaller than the sum of its proper divisors (336025638895968).

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

120755191840416 is a wasteful number, since it uses less digits than its factorization.

120755191840416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 120755191840416 in words is "one hundred twenty trillion, seven hundred fifty-five billion, one hundred ninety-one million, eight hundred forty thousand, four hundred sixteen".