127214111200 has 144 divisors (see below), whose sum is σ = 347058568080. Its totient is φ = 45131264000.

The previous prime is 127214111173. The next prime is 127214111207. The reversal of 127214111200 is 2111412721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127214111207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184506 + ... + 537094.

It is an arithmetic number, because the mean of its divisors is an integer number (2410128945).

Almost surely, 2^127214111200 is an apocalyptic number.

127214111200 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 127214111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173529284040).

127214111200 is an abundant number, since it is smaller than the sum of its proper divisors (219844456880).

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

127214111200 is a wasteful number, since it uses less digits than its factorization.

127214111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352661 (or 352648 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 127214111200 its reverse (2111412721), we get a palindrome (129325523921).

The spelling of 127214111200 in words is "one hundred twenty-seven billion, two hundred fourteen million, one hundred eleven thousand, two hundred".