127150126272 has 224 divisors, whose sum is σ = 412372820160. Its totient is φ = 38168616960.

The previous prime is 127150126253. The next prime is 127150126273. The reversal of 127150126272 is 272621051721.

127150126272 is a `hidden beast` number, since 1 + 2 + 7 + 15 + 0 + 12 + 627 + 2 = 666.

It is a super-2 number, since 2×127150126272² (a number of 23 digits) contains 22 as substring.

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 (127150126273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851998 + ... + 990050.

It is an arithmetic number, because the mean of its divisors is an integer number (1840950090).

Almost surely, 2^127150126272 is an apocalyptic number.

127150126272 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 127150126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206186410080).

127150126272 is an abundant number, since it is smaller than the sum of its proper divisors (285222693888).

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

127150126272 is a wasteful number, since it uses less digits than its factorization.

127150126272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138128 (or 138112 counting only the distinct ones).

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

Adding to 127150126272 its reverse (272621051721), we get a palindrome (399771177993).

The spelling of 127150126272 in words is "one hundred twenty-seven billion, one hundred fifty million, one hundred twenty-six thousand, two hundred seventy-two".