12155312102000 has 320 divisors, whose sum is σ = 30636483710976. Its totient is φ = 4659408000000.

The previous prime is 12155312101991. The next prime is 12155312102057. The reversal of 12155312102000 is 20121355121.

It is a super-2 number, since 2×12155312102000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4637660690 + ... + 4637663310.

Almost surely, 2^{12155312102000} is an apocalyptic number.

12155312102000 is a gapful number since it is divisible by the number (10) 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 12155312102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15318241855488).

12155312102000 is an abundant number, since it is smaller than the sum of its proper divisors (18481171608976).

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

12155312102000 is a wasteful number, since it uses less digits than its factorization.

12155312102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 12155312102000 its reverse (20121355121), we get a palindrome (12175433457121).

The spelling of 12155312102000 in words is "twelve trillion, one hundred fifty-five billion, three hundred twelve million, one hundred two thousand".