127645701120000 has 1120 divisors, whose sum is σ = 540097495977600. Its totient is φ = 29175939072000.

The previous prime is 127645701119939. The next prime is 127645701120001. The reversal of 127645701120000 is 21107546721.

127645701120000 is a `hidden beast` number, since 1 + 2 + 7 + 64 + 570 + 1 + 1 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is not an unprimeable number, because it can be changed into a prime (127645701120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 967614046 + ... + 967745954.

Almost surely, 2^{127645701120000} is an apocalyptic number.

127645701120000 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 127645701120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270048747988800).

127645701120000 is an abundant number, since it is smaller than the sum of its proper divisors (412451794857600).

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

127645701120000 is an frugal number, since it uses more digits than its factorization.

127645701120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131971 (or 131926 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

Adding to 127645701120000 its reverse (21107546721), we get a palindrome (127666808666721).

The spelling of 127645701120000 in words is "one hundred twenty-seven trillion, six hundred forty-five billion, seven hundred one million, one hundred twenty thousand".