120146196505860 has 576 divisors, whose sum is σ = 422184261058560. Its totient is φ = 27090104693760.

The previous prime is 120146196505813. The next prime is 120146196505919. The reversal of 120146196505860 is 68505691641021.

It is a happy number.

120146196505860 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 6 + 1 + 9 + 6 + 50 + 586 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120146196505797 and 120146196505806.

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 191 ways as a sum of consecutive naturals, for example, 65905756909 + ... + 65905758731.

It is an arithmetic number, because the mean of its divisors is an integer number (732958786560).

Almost surely, 2^{120146196505860} is an apocalyptic number.

120146196505860 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 120146196505860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211092130529280).

120146196505860 is an abundant number, since it is smaller than the sum of its proper divisors (302038064552700).

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

120146196505860 is a wasteful number, since it uses less digits than its factorization.

120146196505860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 120146196505860 in words is "one hundred twenty trillion, one hundred forty-six billion, one hundred ninety-six million, five hundred five thousand, eight hundred sixty".