1281141227520 has 720 divisors, whose sum is σ = 5537268592128. Its totient is φ = 266199367680.

The previous prime is 1281141227467. The next prime is 1281141227551. The reversal of 1281141227520 is 257221411821.

1281141227520 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 1 + 4 + 122 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56759277 + ... + 56781843.

Almost surely, 2^{1281141227520} is an apocalyptic number.

1281141227520 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 1281141227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768634296064).

1281141227520 is an abundant number, since it is smaller than the sum of its proper divisors (4256127364608).

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

1281141227520 is a wasteful number, since it uses less digits than its factorization.

1281141227520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22624 (or 22595 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 1281141227520 in words is "one trillion, two hundred eighty-one billion, one hundred forty-one million, two hundred twenty-seven thousand, five hundred twenty".