Search a number
-
+
12132013201112 = 2373124232884229
BaseRepresentation
bin1011000010001011010001…
…0101100101011011011000
31120221210211212012120011102
42300202310111211123120
53042232330334413422
641445211523050532
72361336411502610
oct260426425453330
946853755176142
1012132013201112
113958181197802
12143b322810a48
136a00756b137c
142dd29a5bba40
151608ac8a3192
hexb08b45656d8

12132013201112 has 64 divisors (see below), whose sum is σ = 26846874316800. Its totient is φ = 5029632155520.

The previous prime is 12132013201073. The next prime is 12132013201151. The reversal of 12132013201112 is 21110231023121.

It is an interprime number because it is at equal distance from previous prime (12132013201073) and next prime (12132013201151).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764214 + ... + 5648442.

It is an arithmetic number, because the mean of its divisors is an integer number (419482411200).

Almost surely, 212132013201112 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 12132013201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423437158400).

12132013201112 is an abundant number, since it is smaller than the sum of its proper divisors (14714861115688).

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

12132013201112 is a wasteful number, since it uses less digits than its factorization.

12132013201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886696 (or 2886692 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12132013201112 its reverse (21110231023121), we get a palindrome (33242244224233).

The spelling of 12132013201112 in words is "twelve trillion, one hundred thirty-two billion, thirteen million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 2423 4846 9692 16961 19384 33922 67844 75113 135688 150226 300452 525791 600904 1051582 2103164 2884229 4206328 5768458 11536916 20189603 23073832 40379206 80758412 89411099 161516824 178822198 357644396 625877693 715288792 1251755386 2503510772 5007021544 6988486867 13976973734 27953947468 48919408069 55907894936 97838816138 195677632276 216643092877 391355264552 433286185754 866572371508 1516501650139 1733144743016 3033003300278 6066006600556 12132013201112