1286123520000 has 960 divisors, whose sum is σ = 4737892670280. Its totient is φ = 309985280000.

The previous prime is 1286123519983. The next prime is 1286123520061. The reversal of 1286123520000 is 253216821.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1286123520000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1286123520000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7434239914 + ... + 7434240086.

Almost surely, 2^{1286123520000} is an apocalyptic number.

1286123520000 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 1286123520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368946335140).

1286123520000 is an abundant number, since it is smaller than the sum of its proper divisors (3451769150280).

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

1286123520000 is an frugal number, since it uses more digits than its factorization.

1286123520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1286123520000 its reverse (253216821), we get a palindrome (1286376736821).

The spelling of 1286123520000 in words is "one trillion, two hundred eighty-six billion, one hundred twenty-three million, five hundred twenty thousand".