1412215200 has 324 divisors, whose sum is σ = 5477067414. Its totient is φ = 342144000.

The previous prime is 1412215187. The next prime is 1412215219. The reversal of 1412215200 is 25122141.

1412215200 is a `hidden beast` number, since 141 + 2 + 2 + 1 + 520 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1205200656 + 207014544 = 34716^2 + 14388^2 .

It is a super-2 number, since 2×1412215200² = 3988703542222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 870390 + ... + 872010.

Almost surely, 2^1412215200 is an apocalyptic number.

1412215200 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 1412215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738533707).

1412215200 is an abundant number, since it is smaller than the sum of its proper divisors (4064852214).

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

1412215200 is a wasteful number, since it uses less digits than its factorization.

1412215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1412215200 is about 37579.4518320850. The cubic root of 1412215200 is about 1121.9330986638.

Adding to 1412215200 its reverse (25122141), we get a palindrome (1437337341).

It can be divided in two parts, 1412 and 215200, that added together give a palindrome (216612).

The spelling of 1412215200 in words is "one billion, four hundred twelve million, two hundred fifteen thousand, two hundred".