1282204490112 has 1152 divisors, whose sum is σ = 5077199050560. Its totient is φ = 301369393152.

The previous prime is 1282204490081. The next prime is 1282204490113. The reversal of 1282204490112 is 2110944022821.

1282204490112 is a `hidden beast` number, since 1 + 2 + 82 + 20 + 449 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282204490113) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 643352988 + ... + 643354980.

Almost surely, 2^{1282204490112} is an apocalyptic number.

1282204490112 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 1282204490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538599525280).

1282204490112 is an abundant number, since it is smaller than the sum of its proper divisors (3794994560448).

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

1282204490112 is a wasteful number, since it uses less digits than its factorization.

1282204490112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1282204490112 in words is "one trillion, two hundred eighty-two billion, two hundred four million, four hundred ninety thousand, one hundred twelve".