120408261696 has 224 divisors, whose sum is σ = 368455651200. Its totient is φ = 38511728640.

The previous prime is 120408261683. The next prime is 120408261703. The reversal of 120408261696 is 696162804021.

120408261696 is a `hidden beast` number, since 1 + 20 + 4 + 0 + 8 + 2 + 616 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8160886 + ... + 8175626.

It is an arithmetic number, because the mean of its divisors is an integer number (1644891300).

Almost surely, 2^120408261696 is an apocalyptic number.

120408261696 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 120408261696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184227825600).

120408261696 is an abundant number, since it is smaller than the sum of its proper divisors (248047389504).

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

120408261696 is a wasteful number, since it uses less digits than its factorization.

120408261696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14954 (or 14938 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 120408261696 in words is "one hundred twenty billion, four hundred eight million, two hundred sixty-one thousand, six hundred ninety-six".