1284272226000 has 320 divisors, whose sum is σ = 4642776652800. Its totient is φ = 339329088000.

The previous prime is 1284272225983. The next prime is 1284272226001. The reversal of 1284272226000 is 6222724821.

1284272226000 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 27 + 2 + 22 + 600 + 0 = 666.

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 (1284272226001) 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, 5776905 + ... + 5995095.

It is an arithmetic number, because the mean of its divisors is an integer number (14508677040).

Almost surely, 2^{1284272226000} is an apocalyptic number.

1284272226000 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 1284272226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321388326400).

1284272226000 is an abundant number, since it is smaller than the sum of its proper divisors (3358504426800).

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

1284272226000 is a wasteful number, since it uses less digits than its factorization.

1284272226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218332 (or 218310 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 1284272226000 in words is "one trillion, two hundred eighty-four billion, two hundred seventy-two million, two hundred twenty-six thousand".