12351740685024 has 768 divisors, whose sum is σ = 38788218814464. Its totient is φ = 3405459456000.

The previous prime is 12351740684971. The next prime is 12351740685091. The reversal of 12351740685024 is 42058604715321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11752369299 + ... + 11752370349.

It is an arithmetic number, because the mean of its divisors is an integer number (50505493248).

Almost surely, 2^{12351740685024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12351740685024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19394109407232).

12351740685024 is an abundant number, since it is smaller than the sum of its proper divisors (26436478129440).

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

12351740685024 is a wasteful number, since it uses less digits than its factorization.

12351740685024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 12351740685024 in words is "twelve trillion, three hundred fifty-one billion, seven hundred forty million, six hundred eighty-five thousand, twenty-four".