127214016 has 56 divisors (see below), whose sum is σ = 340888320. Its totient is φ = 41862912.

The previous prime is 127214011. The next prime is 127214023. The reversal of 127214016 is 610412721.

127214016 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127214011) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10975 + ... + 19361.

Almost surely, 2^127214016 is an apocalyptic number.

127214016 is a gapful number since it is divisible by the number (16) 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 127214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170444160).

127214016 is an abundant number, since it is smaller than the sum of its proper divisors (213674304).

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

127214016 is an equidigital number, since it uses as much as digits as its factorization.

127214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 127214016 is about 11278.9190971476. The cubic root of 127214016 is about 502.9347619755.

Adding to 127214016 its reverse (610412721), we get a palindrome (737626737).

The spelling of 127214016 in words is "one hundred twenty-seven million, two hundred fourteen thousand, sixteen".