127730811312000 has 3072 divisors, whose sum is σ = 552670513274880. Its totient is φ = 27962081280000.

The previous prime is 127730811311959. The next prime is 127730811312059. The reversal of 127730811312000 is 213118037721.

It is a happy number.

127730811312000 is a `hidden beast` number, since 1 + 27 + 7 + 308 + 11 + 312 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×127730811312000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42421390495 + ... + 42421393505.

It is an arithmetic number, because the mean of its divisors is an integer number (179905766040).

Almost surely, 2^{127730811312000} is an apocalyptic number.

127730811312000 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 127730811312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276335256637440).

127730811312000 is an abundant number, since it is smaller than the sum of its proper divisors (424939701962880).

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

127730811312000 is a wasteful number, since it uses less digits than its factorization.

127730811312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 127730811312000 its reverse (213118037721), we get a palindrome (127943929349721).

The spelling of 127730811312000 in words is "one hundred twenty-seven trillion, seven hundred thirty billion, eight hundred eleven million, three hundred twelve thousand".