14012000 has 96 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 5376000.

The previous prime is 14011999. The next prime is 14012003. The reversal of 14012000 is 21041.

14012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14012000² = 392672288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123944 + ... + 124056.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 2^14012000 is an apocalyptic number.

14012000 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 14012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

14012000 is an abundant number, since it is smaller than the sum of its proper divisors (21840544).

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

14012000 is a wasteful number, since it uses less digits than its factorization.

14012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 14012000 is about 3743.2606107510. The cubic root of 14012000 is about 241.0830679598.

Adding to 14012000 its reverse (21041), we get a palindrome (14033041).

The spelling of 14012000 in words is "fourteen million, twelve thousand".