201412000 has 96 divisors (see below), whose sum is σ = 506810304. Its totient is φ = 78624000.

The previous prime is 201411923. The next prime is 201412069. The reversal of 201412000 is 214102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171415 + ... + 172585.

It is an arithmetic number, because the mean of its divisors is an integer number (5279274).

Almost surely, 2^201412000 is an apocalyptic number.

201412000 is a gapful number since it is divisible by the number (20) 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 201412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253405152).

201412000 is an abundant number, since it is smaller than the sum of its proper divisors (305398304).

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

201412000 is a wasteful number, since it uses less digits than its factorization.

201412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 201412000 is about 14191.9695602830. The cubic root of 201412000 is about 586.1765592223.

Adding to 201412000 its reverse (214102), we get a palindrome (201626102).

The spelling of 201412000 in words is "two hundred one million, four hundred twelve thousand".