1412100 has 72 divisors (see below), whose sum is σ = 4548320. Its totient is φ = 375840.

The previous prime is 1412093. The next prime is 1412107. The reversal of 1412100 is 12141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1412093) and next prime (1412107).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1412107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2439 + ... + 2961.

2^1412100 is an apocalyptic number.

1412100 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 1412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274160).

1412100 is an abundant number, since it is smaller than the sum of its proper divisors (3136220).

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

1412100 is a wasteful number, since it uses less digits than its factorization.

1412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1412100 is about 1188.3181392203. The cubic root of 1412100 is about 112.1902590989.

Adding to 1412100 its reverse (12141), we get a palindrome (1424241).

The spelling of 1412100 in words is "one million, four hundred twelve thousand, one hundred".