12402124224 has 336 divisors, whose sum is σ = 39903684480. Its totient is φ = 3385374720.

The previous prime is 12402124159. The next prime is 12402124237. The reversal of 12402124224 is 42242120421.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12402124194 and 12402124203.

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, 35740819 + ... + 35741165.

Almost surely, 2^12402124224 is an apocalyptic number.

12402124224 is a gapful number since it is divisible by the number (14) 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 12402124224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951842240).

12402124224 is an abundant number, since it is smaller than the sum of its proper divisors (27501560256).

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

12402124224 is a wasteful number, since it uses less digits than its factorization.

12402124224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12402124224 its reverse (42242120421), we get a palindrome (54644244645).

The spelling of 12402124224 in words is "twelve billion, four hundred two million, one hundred twenty-four thousand, two hundred twenty-four".