12134490637248 has 336 divisors, whose sum is σ = 40172950262016. Its totient is φ = 3430224322560.

The previous prime is 12134490637229. The next prime is 12134490637271. The reversal of 12134490637248 is 84273609443121.

12134490637248 is a `hidden beast` number, since 1 + 21 + 3 + 4 + 490 + 63 + 72 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 12134490637194 and 12134490637203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260133415 + ... + 260180057.

Almost surely, 2^{12134490637248} is an apocalyptic number.

12134490637248 is a gapful number since it is divisible by the number (18) 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 12134490637248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20086475131008).

12134490637248 is an abundant number, since it is smaller than the sum of its proper divisors (28038459624768).

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

12134490637248 is a wasteful number, since it uses less digits than its factorization.

12134490637248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47352 (or 47339 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 12134490637248 in words is "twelve trillion, one hundred thirty-four billion, four hundred ninety million, six hundred thirty-seven thousand, two hundred forty-eight".