127205230811772 has 192 divisors, whose sum is σ = 318361568000000. Its totient is φ = 39411374826240.

The previous prime is 127205230811731. The next prime is 127205230811797. The reversal of 127205230811772 is 277118032502721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17620889979 + ... + 17620897197.

Almost surely, 2^{127205230811772} is an apocalyptic number.

127205230811772 is a gapful number since it is divisible by the number (12) 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 127205230811772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159180784000000).

127205230811772 is an abundant number, since it is smaller than the sum of its proper divisors (191156337188228).

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

127205230811772 is a wasteful number, since it uses less digits than its factorization.

127205230811772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10344 (or 10342 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 127205230811772 in words is "one hundred twenty-seven trillion, two hundred five billion, two hundred thirty million, eight hundred eleven thousand, seven hundred seventy-two".