123097423680 has 1764 divisors, whose sum is σ = 568256143140. Its totient is φ = 25291284480.

The previous prime is 123097423661. The next prime is 123097423693. The reversal of 123097423680 is 86324790321.

It can be written as a sum of positive squares in 2 ways, for example, as 33471434304 + 89625989376 = 182952^2 + 299376^2 .

It is a tau number, because it is divible by the number of its divisors (1764).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1383117076 + ... + 1383117164.

Almost surely, 2^123097423680 is an apocalyptic number.

123097423680 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 123097423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284128071570).

123097423680 is an abundant number, since it is smaller than the sum of its proper divisors (445158719460).

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

123097423680 is an equidigital number, since it uses as much as digits as its factorization.

123097423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 123097423680 in words is "one hundred twenty-three billion, ninety-seven million, four hundred twenty-three thousand, six hundred eighty".