127401120 has 384 divisors, whose sum is σ = 557383680. Its totient is φ = 26403840.

The previous prime is 127401091. The next prime is 127401121. The reversal of 127401120 is 21104721.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 127401093 and 127401102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127401121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332449 + ... + 332831.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^127401120 is an apocalyptic number.

127401120 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 127401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

127401120 is an abundant number, since it is smaller than the sum of its proper divisors (429982560).

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

127401120 is a wasteful number, since it uses less digits than its factorization.

127401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 127401120 is about 11287.2104614028. The cubic root of 127401120 is about 503.1812102110.

Adding to 127401120 its reverse (21104721), we get a palindrome (148505841).

The spelling of 127401120 in words is "one hundred twenty-seven million, four hundred one thousand, one hundred twenty".