120954158447616 has 704 divisors, whose sum is σ = 394592322969600. Its totient is φ = 36367278538752.

The previous prime is 120954158447611. The next prime is 120954158447641. The reversal of 120954158447616 is 616744851459021.

120954158447616 is a `hidden beast` number, since 1 + 2 + 0 + 9 + 5 + 4 + 1 + 5 + 8 + 4 + 4 + 7 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120954158447611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11368935225 + ... + 11368945863.

Almost surely, 2^{120954158447616} is an apocalyptic number.

120954158447616 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 120954158447616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197296161484800).

120954158447616 is an abundant number, since it is smaller than the sum of its proper divisors (273638164521984).

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

120954158447616 is a wasteful number, since it uses less digits than its factorization.

120954158447616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11401 (or 11377 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 120954158447616 in words is "one hundred twenty trillion, nine hundred fifty-four billion, one hundred fifty-eight million, four hundred forty-seven thousand, six hundred sixteen".