12954522240 has 1024 divisors, whose sum is σ = 56049408000. Its totient is φ = 2786918400.

The previous prime is 12954522239. The next prime is 12954522247. The reversal of 12954522240 is 4222545921.

12954522240 is a `hidden beast` number, since 1 + 2 + 95 + 4 + 522 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12954522195 and 12954522204.

It is not an unprimeable number, because it can be changed into a prime (12954522247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61395735 + ... + 61395945.

It is an arithmetic number, because the mean of its divisors is an integer number (54735750).

Almost surely, 2^12954522240 is an apocalyptic number.

12954522240 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 12954522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28024704000).

12954522240 is an abundant number, since it is smaller than the sum of its proper divisors (43094885760).

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

12954522240 is a wasteful number, since it uses less digits than its factorization.

12954522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12954522240 in words is "twelve billion, nine hundred fifty-four million, five hundred twenty-two thousand, two hundred forty".