Search a number
-
+
12055209897984 = 2123115371137173
BaseRepresentation
bin1010111101101101001010…
…0000001111000000000000
31120200110121022020111212220
42233123102200033000000
53040003032213213414
641350030441451040
72352650224263141
oct257332240170000
946613538214786
1012055209897984
113928649788370
1214284694a0a80
13695a5592c786
142d969220bac8
1515d8b4d7dca9
hexaf6d280f000

12055209897984 has 832 divisors, whose sum is σ = 36705636062208. Its totient is φ = 3487616204800.

The previous prime is 12055209897979. The next prime is 12055209898003. The reversal of 12055209897984 is 48979890255021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69683294122 + ... + 69683294294.

Almost surely, 212055209897984 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 12055209897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352818031104).

12055209897984 is an abundant number, since it is smaller than the sum of its proper divisors (24650426164224).

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

12055209897984 is a wasteful number, since it uses less digits than its factorization.

12055209897984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 69.

The spelling of 12055209897984 in words is "twelve trillion, fifty-five billion, two hundred nine million, eight hundred ninety-seven thousand, nine hundred eighty-four".