1412112000 has 512 divisors, whose sum is σ = 5275146240. Its totient is φ = 331776000.

The previous prime is 1412111999. The next prime is 1412112001. The reversal of 1412112000 is 2112141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1412111999) and next prime (1412112001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412112001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19343964 + ... + 19344036.

It is an arithmetic number, because the mean of its divisors is an integer number (10303020).

Almost surely, 2^1412112000 is an apocalyptic number.

1412112000 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 1412112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637573120).

1412112000 is an abundant number, since it is smaller than the sum of its proper divisors (3863034240).

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

1412112000 is a wasteful number, since it uses less digits than its factorization.

1412112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

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

The square root of 1412112000 is about 37578.0787161877. The cubic root of 1412112000 is about 1121.9057689489.

Adding to 1412112000 its reverse (2112141), we get a palindrome (1414224141).

The spelling of 1412112000 in words is "one billion, four hundred twelve million, one hundred twelve thousand".