120181692714048 has 672 divisors, whose sum is σ = 409799711077120. Its totient is φ = 34209343733760.

The previous prime is 120181692714047. The next prime is 120181692714119. The reversal of 120181692714048 is 840417296181021.

It is a happy number.

120181692714048 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 8 + 169 + 2 + 71 + 404 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×120181692714048² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120181692713985 and 120181692714003.

It is not an unprimeable number, because it can be changed into a prime (120181692714043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51337757358 + ... + 51337759698.

Almost surely, 2^{120181692714048} is an apocalyptic number.

120181692714048 is a gapful number since it is divisible by the number (18) 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 120181692714048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204899855538560).

120181692714048 is an abundant number, since it is smaller than the sum of its proper divisors (289618018363072).

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

120181692714048 is a wasteful number, since it uses less digits than its factorization.

120181692714048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3915 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 120181692714048 in words is "one hundred twenty trillion, one hundred eighty-one billion, six hundred ninety-two million, seven hundred fourteen thousand, forty-eight".