1283124110940 has 192 divisors, whose sum is σ = 4582680453120. Its totient is φ = 291970137600.

The previous prime is 1283124110927. The next prime is 1283124110959. The reversal of 1283124110940 is 490114213821.

1283124110940 is a `hidden beast` number, since 128 + 31 + 2 + 411 + 0 + 94 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1283124110895 and 1283124110904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81840 + ... + 1604040.

It is an arithmetic number, because the mean of its divisors is an integer number (23868127360).

Almost surely, 2^{1283124110940} is an apocalyptic number.

1283124110940 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 1283124110940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291340226560).

1283124110940 is an abundant number, since it is smaller than the sum of its proper divisors (3299556342180).

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

1283124110940 is a wasteful number, since it uses less digits than its factorization.

1283124110940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522449 (or 1522441 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1283124110940 in words is "one trillion, two hundred eighty-three billion, one hundred twenty-four million, one hundred ten thousand, nine hundred forty".