120188993273856 has 1104 divisors, whose sum is σ = 398072553924864. Its totient is φ = 36006858326016.

The previous prime is 120188993273801. The next prime is 120188993273863. The reversal of 120188993273856 is 658372399881021.

120188993273856 is a `hidden beast` number, since 1 + 2 + 0 + 188 + 99 + 327 + 38 + 5 + 6 = 666.

It is a super-3 number, since 3×120188993273856³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 622740897696 + ... + 622740897888.

Almost surely, 2^{120188993273856} is an apocalyptic number.

120188993273856 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 120188993273856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199036276962432).

120188993273856 is an abundant number, since it is smaller than the sum of its proper divisors (277883560651008).

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

120188993273856 is an frugal number, since it uses more digits than its factorization.

120188993273856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 120188993273856 in words is "one hundred twenty trillion, one hundred eighty-eight billion, nine hundred ninety-three million, two hundred seventy-three thousand, eight hundred fifty-six".