120127645779678 has 16 divisors (see below), whose sum is σ = 266950323954960. Its totient is φ = 40042548593208.

The previous prime is 120127645779677. The next prime is 120127645779703. The reversal of 120127645779678 is 876977546721021.

It is a happy number.

120127645779678 is a `hidden beast` number, since 1 + 2 + 0 + 12 + 7 + 6 + 457 + 7 + 96 + 78 = 666.

It is a super-3 number, since 3×120127645779678³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120127645779677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1112293016425 + ... + 1112293016532.

It is an arithmetic number, because the mean of its divisors is an integer number (16684395247185).

Almost surely, 2^{120127645779678} is an apocalyptic number.

120127645779678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

120127645779678 is an abundant number, since it is smaller than the sum of its proper divisors (146822678175282).

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

120127645779678 is a wasteful number, since it uses less digits than its factorization.

120127645779678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224586032968 (or 2224586032962 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 120127645779678 in words is "one hundred twenty trillion, one hundred twenty-seven billion, six hundred forty-five million, seven hundred seventy-nine thousand, six hundred seventy-eight".