12948230211840 has 2592 divisors, whose sum is σ = 60804593136000. Its totient is φ = 2596571873280.

The previous prime is 12948230211757. The next prime is 12948230211841. The reversal of 12948230211840 is 4811203284921.

12948230211840 is a `hidden beast` number, since 1 + 2 + 94 + 82 + 302 + 1 + 184 + 0 = 666.

It is a super-2 number, since 2×12948230211840² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12948230211841) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5942279871 + ... + 5942282049.

Almost surely, 2^{12948230211840} is an apocalyptic number.

12948230211840 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 12948230211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30402296568000).

12948230211840 is an abundant number, since it is smaller than the sum of its proper divisors (47856362924160).

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

12948230211840 is a wasteful number, since it uses less digits than its factorization.

12948230211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12948230211840 in words is "twelve trillion, nine hundred forty-eight billion, two hundred thirty million, two hundred eleven thousand, eight hundred forty".