141214121200 has 120 divisors (see below), whose sum is σ = 354892687200. Its totient is φ = 53896212480.

The previous prime is 141214121197. The next prime is 141214121203. The reversal of 141214121200 is 2121412141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141214121197) and next prime (141214121203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141214121203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3744036 + ... + 3781564.

It is an arithmetic number, because the mean of its divisors is an integer number (2957439060).

Almost surely, 2^141214121200 is an apocalyptic number.

141214121200 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 141214121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177446343600).

141214121200 is an abundant number, since it is smaller than the sum of its proper divisors (213678566000).

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

141214121200 is a wasteful number, since it uses less digits than its factorization.

141214121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37979 (or 37968 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 141214121200 its reverse (2121412141), we get a palindrome (143335533341).

It can be divided in two parts, 1412141 and 21200, that added together give a palindrome (1433341).

The spelling of 141214121200 in words is "one hundred forty-one billion, two hundred fourteen million, one hundred twenty-one thousand, two hundred".