127362099312 has 240 divisors, whose sum is σ = 425143592640. Its totient is φ = 34822545408.

The previous prime is 127362099311. The next prime is 127362099323. The reversal of 127362099312 is 213990263721.

127362099312 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 620 + 9 + 9 + 3 + 12 = 666.

It is a super-2 number, since 2×127362099312² (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 (127362099311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3283938 + ... + 3322494.

It is an arithmetic number, because the mean of its divisors is an integer number (1771431636).

Almost surely, 2^127362099312 is an apocalyptic number.

127362099312 is a gapful number since it is divisible by the number (12) 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 127362099312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212571796320).

127362099312 is an abundant number, since it is smaller than the sum of its proper divisors (297781493328).

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

127362099312 is a wasteful number, since it uses less digits than its factorization.

127362099312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38720 (or 38711 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 127362099312 in words is "one hundred twenty-seven billion, three hundred sixty-two million, ninety-nine thousand, three hundred twelve".