123134421288 has 256 divisors, whose sum is σ = 329204736000. Its totient is φ = 38333941760.

The previous prime is 123134421287. The next prime is 123134421313. The reversal of 123134421288 is 882124431321.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123134421287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737331781 + ... + 737331947.

It is an arithmetic number, because the mean of its divisors is an integer number (1285956000).

Almost surely, 2^123134421288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123134421288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164602368000).

123134421288 is an abundant number, since it is smaller than the sum of its proper divisors (206070314712).

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

123134421288 is a wasteful number, since it uses less digits than its factorization.

123134421288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The spelling of 123134421288 in words is "one hundred twenty-three billion, one hundred thirty-four million, four hundred twenty-one thousand, two hundred eighty-eight".