127052920037120 has 864 divisors, whose sum is σ = 397932125649408. Its totient is φ = 37749583872000.

The previous prime is 127052920037119. The next prime is 127052920037167. The reversal of 127052920037120 is 21730029250721.

It is a super-2 number, since 2×127052920037120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6345972710 + ... + 6345992730.

It is an arithmetic number, because the mean of its divisors is an integer number (460569589872).

Almost surely, 2^{127052920037120} is an apocalyptic number.

127052920037120 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 127052920037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198966062824704).

127052920037120 is an abundant number, since it is smaller than the sum of its proper divisors (270879205612288).

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

127052920037120 is a wasteful number, since it uses less digits than its factorization.

127052920037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20189 (or 20144 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

Adding to 127052920037120 its reverse (21730029250721), we get a palindrome (148782949287841).

The spelling of 127052920037120 in words is "one hundred twenty-seven trillion, fifty-two billion, nine hundred twenty million, thirty-seven thousand, one hundred twenty".