1293000192 has 240 divisors, whose sum is σ = 4212386640. Its totient is φ = 391311360.

The previous prime is 1293000169. The next prime is 1293000197. The reversal of 1293000192 is 2910003921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293000197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672318 + ... + 1673090.

It is an arithmetic number, because the mean of its divisors is an integer number (17551611).

Almost surely, 2^1293000192 is an apocalyptic number.

1293000192 is a gapful number since it is divisible by the number (12) 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 1293000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106193320).

1293000192 is an abundant number, since it is smaller than the sum of its proper divisors (2919386448).

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

1293000192 is an equidigital number, since it uses as much as digits as its factorization.

1293000192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1293000192 is about 35958.3118624888. The cubic root of 1293000192 is about 1089.4305001333.

The spelling of 1293000192 in words is "one billion, two hundred ninety-three million, one hundred ninety-two", and thus it is an aban number.