1287950996800 has 336 divisors, whose sum is σ = 3528719619712. Its totient is φ = 459592704000.

The previous prime is 1287950996789. The next prime is 1287950996803. The reversal of 1287950996800 is 86990597821.

It is a super-2 number, since 2×1287950996800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287950996803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116204059 + ... + 116215141.

Almost surely, 2^{1287950996800} is an apocalyptic number.

1287950996800 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 1287950996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764359809856).

1287950996800 is an abundant number, since it is smaller than the sum of its proper divisors (2240768622912).

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

1287950996800 is a wasteful number, since it uses less digits than its factorization.

1287950996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11306 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 64.

The spelling of 1287950996800 in words is "one trillion, two hundred eighty-seven billion, nine hundred fifty million, nine hundred ninety-six thousand, eight hundred".