1293491781120 has 640 divisors, whose sum is σ = 5198383567872. Its totient is φ = 268762644480.

The previous prime is 1293491781119. The next prime is 1293491781121. The reversal of 1293491781120 is 211871943921.

It is an interprime number because it is at equal distance from previous prime (1293491781119) and next prime (1293491781121).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1293491781120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293491781121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 71545522 + ... + 71563598.

Almost surely, 2^{1293491781120} is an apocalyptic number.

1293491781120 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 1293491781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599191783936).

1293491781120 is an abundant number, since it is smaller than the sum of its proper divisors (3904891786752).

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

1293491781120 is an equidigital number, since it uses as much as digits as its factorization.

1293491781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18143 (or 18105 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The spelling of 1293491781120 in words is "one trillion, two hundred ninety-three billion, four hundred ninety-one million, seven hundred eighty-one thousand, one hundred twenty".