12522781440 has 864 divisors, whose sum is σ = 51247822080. Its totient is φ = 2902376448.

The previous prime is 12522781429. The next prime is 12522781489. The reversal of 12522781440 is 4418722521.

12522781440 is a `hidden beast` number, since 12 + 522 + 7 + 81 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 12522781395 and 12522781404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76826799 + ... + 76826961.

Almost surely, 2^12522781440 is an apocalyptic number.

12522781440 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 12522781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25623911040).

12522781440 is an abundant number, since it is smaller than the sum of its proper divisors (38725040640).

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

12522781440 is a wasteful number, since it uses less digits than its factorization.

12522781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 12522781440 in words is "twelve billion, five hundred twenty-two million, seven hundred eighty-one thousand, four hundred forty".