12612351024 has 960 divisors, whose sum is σ = 49668249600. Its totient is φ = 2988969984.

The previous prime is 12612351013. The next prime is 12612351029. The reversal of 12612351024 is 42015321621.

12612351024 is a `hidden beast` number, since 1 + 2 + 6 + 123 + 510 + 24 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612351029) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 340874334 + ... + 340874370.

It is an arithmetic number, because the mean of its divisors is an integer number (51737760).

Almost surely, 2^12612351024 is an apocalyptic number.

12612351024 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 12612351024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24834124800).

12612351024 is an abundant number, since it is smaller than the sum of its proper divisors (37055898576).

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

12612351024 is a wasteful number, since it uses less digits than its factorization.

12612351024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12612351024 its reverse (42015321621), we get a palindrome (54627672645).

It can be divided in two parts, 126123 and 51024, that added together give a 11-th power (177147 = 3¹¹).

The spelling of 12612351024 in words is "twelve billion, six hundred twelve million, three hundred fifty-one thousand, twenty-four".