1282418745120 has 192 divisors, whose sum is σ = 4504673658240. Its totient is φ = 340743435264.

The previous prime is 1282418745067. The next prime is 1282418745133. The reversal of 1282418745120 is 215478142821.

1282418745120 is a `hidden beast` number, since 1 + 2 + 82 + 41 + 87 + 451 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660799 + ... + 1732481.

It is an arithmetic number, because the mean of its divisors is an integer number (23461841970).

Almost surely, 2^{1282418745120} is an apocalyptic number.

1282418745120 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 1282418745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252336829120).

1282418745120 is an abundant number, since it is smaller than the sum of its proper divisors (3222254913120).

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

1282418745120 is a wasteful number, since it uses less digits than its factorization.

1282418745120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071984 (or 1071970 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 1282418745120 in words is "one trillion, two hundred eighty-two billion, four hundred eighteen million, seven hundred forty-five thousand, one hundred twenty".