12057165550650 has 192 divisors, whose sum is σ = 33160933564416. Its totient is φ = 2874506208000.

The previous prime is 12057165550649. The next prime is 12057165550663. The reversal of 12057165550650 is 5605556175021.

It is a super-2 number, since 2×12057165550650² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12057165550650.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1055510839 + ... + 1055522261.

It is an arithmetic number, because the mean of its divisors is an integer number (172713195648).

Almost surely, 2^{12057165550650} is an apocalyptic number.

12057165550650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12057165550650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580466782208).

12057165550650 is an abundant number, since it is smaller than the sum of its proper divisors (21103768013766).

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

12057165550650 is a wasteful number, since it uses less digits than its factorization.

12057165550650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21997 (or 21992 counting only the distinct ones).

The product of its (nonzero) digits is 1575000, while the sum is 48.

The spelling of 12057165550650 in words is "twelve trillion, fifty-seven billion, one hundred sixty-five million, five hundred fifty thousand, six hundred fifty".