1283969517120 has 280 divisors, whose sum is σ = 4714640840448. Its totient is φ = 331346764800.

The previous prime is 1283969517029. The next prime is 1283969517121. The reversal of 1283969517120 is 217159693821.

It is a happy number.

1283969517120 is a `hidden beast` number, since 1 + 28 + 3 + 96 + 9 + 517 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1283969517121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4555 + ... + 1602485.

Almost surely, 2^{1283969517120} is an apocalyptic number.

1283969517120 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 1283969517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357320420224).

1283969517120 is an abundant number, since it is smaller than the sum of its proper divisors (3430671323328).

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

1283969517120 is a wasteful number, since it uses less digits than its factorization.

1283969517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597991 (or 1597972 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 1283969517120 in words is "one trillion, two hundred eighty-three billion, nine hundred sixty-nine million, five hundred seventeen thousand, one hundred twenty".