127206132480 has 1080 divisors, whose sum is σ = 538297718112. Its totient is φ = 28677390336.

The previous prime is 127206132467. The next prime is 127206132491. The reversal of 127206132480 is 84231602721.

It is a happy number.

127206132480 is a `hidden beast` number, since 1 + 27 + 20 + 6 + 132 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1742549724 + ... + 1742549796.

Almost surely, 2^127206132480 is an apocalyptic number.

127206132480 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 127206132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269148859056).

127206132480 is an abundant number, since it is smaller than the sum of its proper divisors (411091585632).

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

127206132480 is an frugal number, since it uses more digits than its factorization.

127206132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 127206132480 in words is "one hundred twenty-seven billion, two hundred six million, one hundred thirty-two thousand, four hundred eighty".