12954193920 has 624 divisors, whose sum is σ = 49374037440. Its totient is φ = 3248750592.

The previous prime is 12954193897. The next prime is 12954193921. The reversal of 12954193920 is 2939145921.

12954193920 is a `hidden beast` number, since 12 + 9 + 541 + 9 + 3 + 92 + 0 = 666.

It is a super-2 number, since 2×12954193920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12954193921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94556092 + ... + 94556228.

It is an arithmetic number, because the mean of its divisors is an integer number (79125060).

Almost surely, 2^12954193920 is an apocalyptic number.

12954193920 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 12954193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24687018720).

12954193920 is an abundant number, since it is smaller than the sum of its proper divisors (36419843520).

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

12954193920 is an equidigital number, since it uses as much as digits as its factorization.

12954193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 12954193920 in words is "twelve billion, nine hundred fifty-four million, one hundred ninety-three thousand, nine hundred twenty".