127412310528 has 400 divisors, whose sum is σ = 391431553920. Its totient is φ = 41412612096.

The previous prime is 127412310449. The next prime is 127412310569. The reversal of 127412310528 is 825013214721.

127412310528 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 123 + 1 + 0 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 127412310492 and 127412310501.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 473651578 + ... + 473651846.

Almost surely, 2^127412310528 is an apocalyptic number.

127412310528 is a gapful number since it is divisible by the number (18) 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 127412310528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195715776960).

127412310528 is an abundant number, since it is smaller than the sum of its proper divisors (264019243392).

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

127412310528 is an frugal number, since it uses more digits than its factorization.

127412310528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 127412310528 in words is "one hundred twenty-seven billion, four hundred twelve million, three hundred ten thousand, five hundred twenty-eight".