127226000 has 80 divisors (see below), whose sum is σ = 335657088. Its totient is φ = 46256000.

The previous prime is 127225997. The next prime is 127226027. The reversal of 127226000 is 622721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19109 + ... + 24891.

Almost surely, 2^127226000 is an apocalyptic number.

127226000 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 127226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167828544).

127226000 is an abundant number, since it is smaller than the sum of its proper divisors (208431088).

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

127226000 is a wasteful number, since it uses less digits than its factorization.

127226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 127226000 is about 11279.4503412179. The cubic root of 127226000 is about 502.9505542106.

Adding to 127226000 its reverse (622721), we get a palindrome (127848721).

It can be divided in two parts, 1272 and 26000, that added together give a palindrome (27272).

The spelling of 127226000 in words is "one hundred twenty-seven million, two hundred twenty-six thousand".