1282121568 has 384 divisors, whose sum is σ = 4809369600. Its totient is φ = 322983936.

The previous prime is 1282121567. The next prime is 1282121579. The reversal of 1282121568 is 8651212821.

1282121568 is a `hidden beast` number, since 1 + 2 + 82 + 12 + 1 + 568 = 666.

1282121568 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (1282121563) 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, 1807998 + ... + 1808706.

It is an arithmetic number, because the mean of its divisors is an integer number (12524400).

Almost surely, 2^1282121568 is an apocalyptic number.

1282121568 is a gapful number since it is divisible by the number (18) 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 1282121568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404684800).

1282121568 is an abundant number, since it is smaller than the sum of its proper divisors (3527248032).

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

1282121568 is a wasteful number, since it uses less digits than its factorization.

1282121568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 757 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 1282121568 is about 35806.7251783795. The cubic root of 1282121568 is about 1086.3665927608.

The spelling of 1282121568 in words is "one billion, two hundred eighty-two million, one hundred twenty-one thousand, five hundred sixty-eight".