1142281224000 has 1792 divisors, whose sum is σ = 4954204569600. Its totient is φ = 252315648000.

The previous prime is 1142281223983. The next prime is 1142281224001. The reversal of 1142281224000 is 4221822411.

1142281224000 is a `hidden beast` number, since 1 + 14 + 228 + 1 + 22 + 400 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142281224001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8719703935 + ... + 8719704065.

Almost surely, 2^{1142281224000} is an apocalyptic number.

1142281224000 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 1142281224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477102284800).

1142281224000 is an abundant number, since it is smaller than the sum of its proper divisors (3811923345600).

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

1142281224000 is a wasteful number, since it uses less digits than its factorization.

1142281224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 1142281224000 in words is "one trillion, one hundred forty-two billion, two hundred eighty-one million, two hundred twenty-four thousand".