127120050 has 192 divisors, whose sum is σ = 385689600. Its totient is φ = 30643200.

The previous prime is 127120039. The next prime is 127120073. The reversal of 127120050 is 50021721.

It is a super-2 number, since 2×127120050² = 32319014224005000, which contains 22 as substring.

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

It is a Curzon 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, 665455 + ... + 665645.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 2^127120050 is an apocalyptic number.

127120050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127120050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

127120050 is an abundant number, since it is smaller than the sum of its proper divisors (258569550).

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

127120050 is a wasteful number, since it uses less digits than its factorization.

127120050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 127120050 is about 11274.7527689081. The cubic root of 127120050 is about 502.8109013876.

Adding to 127120050 its reverse (50021721), we get a palindrome (177141771).

It can be divided in two parts, 1271 and 20050, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 127120050 in words is "one hundred twenty-seven million, one hundred twenty thousand, fifty".