12293648949120 has 3072 divisors, whose sum is σ = 53757304473600. Its totient is φ = 2358352281600.

The previous prime is 12293648949103. The next prime is 12293648949121. The reversal of 12293648949120 is 2194984639221.

It is a super-2 number, since 2×12293648949120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12293648949121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 119355814989 + ... + 119355815091.

It is an arithmetic number, because the mean of its divisors is an integer number (17499122550).

Almost surely, 2^{12293648949120} is an apocalyptic number.

12293648949120 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 12293648949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26878652236800).

12293648949120 is an abundant number, since it is smaller than the sum of its proper divisors (41463655524480).

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

12293648949120 is a wasteful number, since it uses less digits than its factorization.

12293648949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 12293648949120 in words is "twelve trillion, two hundred ninety-three billion, six hundred forty-eight million, nine hundred forty-nine thousand, one hundred twenty".