12705178651152 has 320 divisors, whose sum is σ = 36192772014336. Its totient is φ = 3816713134080.

The previous prime is 12705178651129. The next prime is 12705178651153. The reversal of 12705178651152 is 25115687150721.

It is a super-2 number, since 2×12705178651152² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12705178651095 and 12705178651104.

It is not an unprimeable number, because it can be changed into a prime (12705178651153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5445853378 + ... + 5445855710.

Almost surely, 2^{12705178651152} is an apocalyptic number.

12705178651152 is a gapful number since it is divisible by the number (12) 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 12705178651152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18096386007168).

12705178651152 is an abundant number, since it is smaller than the sum of its proper divisors (23487593363184).

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

12705178651152 is a wasteful number, since it uses less digits than its factorization.

12705178651152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 51.

The spelling of 12705178651152 in words is "twelve trillion, seven hundred five billion, one hundred seventy-eight million, six hundred fifty-one thousand, one hundred fifty-two".