12954726529920 has 1152 divisors, whose sum is σ = 53647595688960. Its totient is φ = 2870679232512.

The previous prime is 12954726529889. The next prime is 12954726529933. The reversal of 12954726529920 is 2992562745921.

12954726529920 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 472 + 6 + 52 + 99 + 20 = 666.

12954726529920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1419380397 + ... + 1419389523.

It is an arithmetic number, because the mean of its divisors is an integer number (46569093480).

Almost surely, 2^{12954726529920} is an apocalyptic number.

12954726529920 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 12954726529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26823797844480).

12954726529920 is an abundant number, since it is smaller than the sum of its proper divisors (40692869159040).

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

12954726529920 is a wasteful number, since it uses less digits than its factorization.

12954726529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 9298 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 12954726529920 in words is "twelve trillion, nine hundred fifty-four billion, seven hundred twenty-six million, five hundred twenty-nine thousand, nine hundred twenty".