1286555901120 has 1792 divisors, whose sum is σ = 5665866240000. Its totient is φ = 273898340352.

The previous prime is 1286555901053. The next prime is 1286555901121. The reversal of 1286555901120 is 211095556821.

1286555901120 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 55 + 590 + 1 + 1 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1286555901121) 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, 4110402084 + ... + 4110402396.

Almost surely, 2^{1286555901120} is an apocalyptic number.

1286555901120 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 1286555901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832933120000).

1286555901120 is an abundant number, since it is smaller than the sum of its proper divisors (4379310338880).

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

1286555901120 is a wasteful number, since it uses less digits than its factorization.

1286555901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 1286555901120 in words is "one trillion, two hundred eighty-six billion, five hundred fifty-five million, nine hundred one thousand, one hundred twenty".