12142005624 has 320 divisors, whose sum is σ = 40844643840. Its totient is φ = 3294846720.

The previous prime is 12142005587. The next prime is 12142005643. The reversal of 12142005624 is 42650024121.

12142005624 is a `hidden beast` number, since 1 + 2 + 14 + 20 + 0 + 5 + 624 = 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 79 ways as a sum of consecutive naturals, for example, 18883047 + ... + 18883689.

It is an arithmetic number, because the mean of its divisors is an integer number (127639512).

Almost surely, 2^12142005624 is an apocalyptic number.

12142005624 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 12142005624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20422321920).

12142005624 is an abundant number, since it is smaller than the sum of its proper divisors (28702638216).

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

12142005624 is a wasteful number, since it uses less digits than its factorization.

12142005624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12142005624 its reverse (42650024121), we get a palindrome (54792029745).

The spelling of 12142005624 in words is "twelve billion, one hundred forty-two million, five thousand, six hundred twenty-four".