123127706880 has 576 divisors, whose sum is σ = 458881597440. Its totient is φ = 31203532800.

The previous prime is 123127706869. The next prime is 123127706887. The reversal of 123127706880 is 88607721321.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123127706887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151821675 + ... + 151822485.

It is an arithmetic number, because the mean of its divisors is an integer number (796669440).

Almost surely, 2^123127706880 is an apocalyptic number.

123127706880 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 123127706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229440798720).

123127706880 is an abundant number, since it is smaller than the sum of its proper divisors (335753890560).

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

123127706880 is a wasteful number, since it uses less digits than its factorization.

123127706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 123127706880 in words is "one hundred twenty-three billion, one hundred twenty-seven million, seven hundred six thousand, eight hundred eighty".