120665408282496 has 3072 divisors, whose sum is σ = 489469962240000. Its totient is φ = 28831785615360.

The previous prime is 120665408282483. The next prime is 120665408282537. The reversal of 120665408282496 is 694282804566021.

120665408282496 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 6 + 540 + 8 + 2 + 82 + 4 + 9 + 6 = 666.

It is a super-3 number, since 3×120665408282496³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 347738928595 + ... + 347738928941.

It is an arithmetic number, because the mean of its divisors is an integer number (159332670000).

Almost surely, 2^{120665408282496} is an apocalyptic number.

120665408282496 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 120665408282496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244734981120000).

120665408282496 is an abundant number, since it is smaller than the sum of its proper divisors (368804553957504).

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

120665408282496 is a wasteful number, since it uses less digits than its factorization.

120665408282496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 120665408282496 in words is "one hundred twenty trillion, six hundred sixty-five billion, four hundred eight million, two hundred eighty-two thousand, four hundred ninety-six".