127124000256 has 320 divisors, whose sum is σ = 393818008320. Its totient is φ = 36012687360.

The previous prime is 127124000251. The next prime is 127124000287. The reversal of 127124000256 is 652000421721.

It is a super-2 number, since 2×127124000256² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127124000251) 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, 45094015 + ... + 45096833.

It is an arithmetic number, because the mean of its divisors is an integer number (1230681276).

Almost surely, 2^127124000256 is an apocalyptic number.

127124000256 is a gapful number since it is divisible by the number (16) 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 127124000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196909004160).

127124000256 is an abundant number, since it is smaller than the sum of its proper divisors (266694008064).

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

127124000256 is a wasteful number, since it uses less digits than its factorization.

127124000256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 127124000256 its reverse (652000421721), we get a palindrome (779124421977).

The spelling of 127124000256 in words is "one hundred twenty-seven billion, one hundred twenty-four million, two hundred fifty-six", and thus it is an aban number.