123162071760 has 480 divisors, whose sum is σ = 514344579840. Its totient is φ = 25716621312.

The previous prime is 123162071741. The next prime is 123162071771. The reversal of 123162071760 is 67170261321.

It is a happy number.

123162071760 is a `hidden beast` number, since 1 + 23 + 1 + 620 + 7 + 1 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6345751 + ... + 6365129.

It is an arithmetic number, because the mean of its divisors is an integer number (1071551208).

Almost surely, 2^123162071760 is an apocalyptic number.

123162071760 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 123162071760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257172289920).

123162071760 is an abundant number, since it is smaller than the sum of its proper divisors (391182508080).

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

123162071760 is a wasteful number, since it uses less digits than its factorization.

123162071760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19515 (or 19506 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 123162071760 in words is "one hundred twenty-three billion, one hundred sixty-two million, seventy-one thousand, seven hundred sixty".