141211200 has 336 divisors, whose sum is σ = 522077696. Its totient is φ = 33177600.

The previous prime is 141211199. The next prime is 141211201. The reversal of 141211200 is 2112141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (141211199) and next prime (141211201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (141211201) 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 47 ways as a sum of consecutive naturals, for example, 1934364 + ... + 1934436.

Almost surely, 2^141211200 is an apocalyptic number.

141211200 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 141211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261038848).

141211200 is an abundant number, since it is smaller than the sum of its proper divisors (380866496).

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

141211200 is a wasteful number, since it uses less digits than its factorization.

141211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 141211200 is about 11883.2318836249. The cubic root of 141211200 is about 520.7425289519.

Adding to 141211200 its reverse (2112141), we get a palindrome (143323341).

The spelling of 141211200 in words is "one hundred forty-one million, two hundred eleven thousand, two hundred".