123646461120 has 2240 divisors, whose sum is σ = 594813542400. Its totient is φ = 23648993280.

The previous prime is 123646461109. The next prime is 123646461149. The reversal of 123646461120 is 21164646321.

123646461120 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 4 + 646 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1389286036 + ... + 1389286124.

It is an arithmetic number, because the mean of its divisors is an integer number (265541760).

Almost surely, 2^123646461120 is an apocalyptic number.

123646461120 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 123646461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297406771200).

123646461120 is an abundant number, since it is smaller than the sum of its proper divisors (471167081280).

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

123646461120 is a wasteful number, since it uses less digits than its factorization.

123646461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 123646461120 in words is "one hundred twenty-three billion, six hundred forty-six million, four hundred sixty-one thousand, one hundred twenty".