120666976395840 has 3584 divisors, whose sum is σ = 537986727936000. Its totient is φ = 24864814301184.

The previous prime is 120666976395793. The next prime is 120666976395929. The reversal of 120666976395840 is 48593679666021.

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

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 239894585029 + ... + 239894585531.

It is an arithmetic number, because the mean of its divisors is an integer number (150107904000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅120666976395840 = 241333952791680, but 3⋅120666976395840 = 362000929187520 is not.

Almost surely, 2^{120666976395840} is an apocalyptic number.

120666976395840 is a gapful number since it is divisible by the number (10) 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 120666976395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268993363968000).

120666976395840 is an abundant number, since it is smaller than the sum of its proper divisors (417319751540160).

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

120666976395840 is a wasteful number, since it uses less digits than its factorization.

120666976395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 120666976395840 in words is "one hundred twenty trillion, six hundred sixty-six billion, nine hundred seventy-six million, three hundred ninety-five thousand, eight hundred forty".