1412220205512 has 256 divisors, whose sum is σ = 3999823027200. Its totient is φ = 467370368064.

The previous prime is 1412220205489. The next prime is 1412220205547. The reversal of 1412220205512 is 2155020222141.

1412220205512 is a `hidden beast` number, since 1 + 4 + 122 + 2 + 0 + 20 + 5 + 512 = 666.

It is a super-3 number, since 3×1412220205512³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2508383743 + ... + 2508384305.

It is an arithmetic number, because the mean of its divisors is an integer number (15624308700).

Almost surely, 2^{1412220205512} is an apocalyptic number.

1412220205512 is a gapful number since it is divisible by the number (12) 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 1412220205512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999911513600).

1412220205512 is an abundant number, since it is smaller than the sum of its proper divisors (2587602821688).

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

1412220205512 is an equidigital number, since it uses as much as digits as its factorization.

1412220205512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1412220205512 its reverse (2155020222141), we get a palindrome (3567240427653).

The spelling of 1412220205512 in words is "one trillion, four hundred twelve billion, two hundred twenty million, two hundred five thousand, five hundred twelve".