127162100832 has 192 divisors, whose sum is σ = 373652455680. Its totient is φ = 37609519104.

The previous prime is 127162100827. The next prime is 127162100833. The reversal of 127162100832 is 238001261721.

It is a junction number, because it is equal to n+sod(n) for n = 127162100793 and 127162100802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127162100833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3816019 + ... + 3849197.

It is an arithmetic number, because the mean of its divisors is an integer number (1946106540).

Almost surely, 2^127162100832 is an apocalyptic number.

127162100832 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 127162100832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186826227840).

127162100832 is an abundant number, since it is smaller than the sum of its proper divisors (246490354848).

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

127162100832 is a wasteful number, since it uses less digits than its factorization.

127162100832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33325 (or 33317 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 127162100832 in words is "one hundred twenty-seven billion, one hundred sixty-two million, one hundred thousand, eight hundred thirty-two".