123161284707840 has 480 divisors, whose sum is σ = 449416628575200. Its totient is φ = 31084987023360.

The previous prime is 123161284707823. The next prime is 123161284707841. The reversal of 123161284707840 is 48707482161321.

123161284707840 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 6 + 128 + 470 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123161284707841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464330776 + ... + 464595944.

It is an arithmetic number, because the mean of its divisors is an integer number (936284642865).

Almost surely, 2^{123161284707840} is an apocalyptic number.

123161284707840 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 123161284707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224708314287600).

123161284707840 is an abundant number, since it is smaller than the sum of its proper divisors (326255343867360).

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

123161284707840 is a wasteful number, since it uses less digits than its factorization.

123161284707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266278 (or 266259 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 123161284707840 in words is "one hundred twenty-three trillion, one hundred sixty-one billion, two hundred eighty-four million, seven hundred seven thousand, eight hundred forty".