123131580 has 192 divisors, whose sum is σ = 411844608. Its totient is φ = 27095040.

The previous prime is 123131551. The next prime is 123131623. The reversal of 123131580 is 85131321.

It is a super-3 number, since 3×123131580³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 123131580.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 969477 + ... + 969603.

It is an arithmetic number, because the mean of its divisors is an integer number (2145024).

Almost surely, 2^123131580 is an apocalyptic number.

123131580 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 123131580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205922304).

123131580 is an abundant number, since it is smaller than the sum of its proper divisors (288713028).

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

123131580 is a wasteful number, since it uses less digits than its factorization.

123131580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 123131580 is about 11096.4670053130. The cubic root of 123131580 is about 497.4962568004.

The spelling of 123131580 in words is "one hundred twenty-three million, one hundred thirty-one thousand, five hundred eighty".