12491781120 has 880 divisors, whose sum is σ = 55259960448. Its totient is φ = 2627665920.

The previous prime is 12491781103. The next prime is 12491781143. The reversal of 12491781120 is 2118719421.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739355 + ... + 37739685.

Almost surely, 2^12491781120 is an apocalyptic number.

12491781120 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 12491781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27629980224).

12491781120 is an abundant number, since it is smaller than the sum of its proper divisors (42768179328).

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

12491781120 is a wasteful number, since it uses less digits than its factorization.

12491781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 12491781120 in words is "twelve billion, four hundred ninety-one million, seven hundred eighty-one thousand, one hundred twenty".