12942488961024 has 1088 divisors, whose sum is σ = 42841971916800. Its totient is φ = 3468165120000.

The previous prime is 12942488961001. The next prime is 12942488961029. The reversal of 12942488961024 is 42016988424921.

It is a super-2 number, since 2×12942488961024² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12942488961029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85711847349 + ... + 85711847499.

Almost surely, 2^{12942488961024} is an apocalyptic number.

12942488961024 is a gapful number since it is divisible by the number (14) 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 12942488961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21420985958400).

12942488961024 is an abundant number, since it is smaller than the sum of its proper divisors (29899482955776).

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

12942488961024 is an frugal number, since it uses more digits than its factorization.

12942488961024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 12942488961024 in words is "twelve trillion, nine hundred forty-two billion, four hundred eighty-eight million, nine hundred sixty-one thousand, twenty-four".