12454212240 has 480 divisors, whose sum is σ = 46375960320. Its totient is φ = 3070771200.

The previous prime is 12454212227. The next prime is 12454212263. The reversal of 12454212240 is 4221245421.

It is a happy number.

12454212240 is a `hidden beast` number, since 12 + 4 + 5 + 421 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 44320900 + ... + 44321180.

It is an arithmetic number, because the mean of its divisors is an integer number (96616584).

Almost surely, 2^12454212240 is an apocalyptic number.

12454212240 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 12454212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23187980160).

12454212240 is an abundant number, since it is smaller than the sum of its proper divisors (33921748080).

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

12454212240 is a wasteful number, since it uses less digits than its factorization.

12454212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 12454212240 its reverse (4221245421), we get a palindrome (16675457661).

The spelling of 12454212240 in words is "twelve billion, four hundred fifty-four million, two hundred twelve thousand, two hundred forty".