127120083823320 has 256 divisors, whose sum is σ = 440260088417280. Its totient is φ = 28761502464000.

The previous prime is 127120083823301. The next prime is 127120083823349. The reversal of 127120083823320 is 23328380021721.

127120083823320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127120083823320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 361327419 + ... + 361679061.

It is an arithmetic number, because the mean of its divisors is an integer number (1719765970380).

Almost surely, 2^{127120083823320} is an apocalyptic number.

127120083823320 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 127120083823320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220130044208640).

127120083823320 is an abundant number, since it is smaller than the sum of its proper divisors (313140004593960).

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

127120083823320 is a wasteful number, since it uses less digits than its factorization.

127120083823320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356026 (or 356022 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 127120083823320 in words is "one hundred twenty-seven trillion, one hundred twenty billion, eighty-three million, eight hundred twenty-three thousand, three hundred twenty".