120142730792448 has 1440 divisors, whose sum is σ = 461829535142976. Its totient is φ = 29735601831936.

The previous prime is 120142730792401. The next prime is 120142730792489. The reversal of 120142730792448 is 844297037241021.

120142730792448 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 42 + 73 + 0 + 7 + 92 + 448 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 120142730792394 and 120142730792403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3578109036 + ... + 3578142612.

Almost surely, 2^{120142730792448} is an apocalyptic number.

120142730792448 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 120142730792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230914767571488).

120142730792448 is an abundant number, since it is smaller than the sum of its proper divisors (341686804350528).

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

120142730792448 is a wasteful number, since it uses less digits than its factorization.

120142730792448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33704 (or 33678 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 120142730792448 in words is "one hundred twenty trillion, one hundred forty-two billion, seven hundred thirty million, seven hundred ninety-two thousand, four hundred forty-eight".