Search a number
-
+
12021314220 = 22335179124367
BaseRepresentation
bin10110011001000011…
…01011001010101100
31011000210020000222000
423030201223022230
5144104424023340
65304510252300
7603620325216
oct131441531254
934023200860
1012021314220
11510979a333
1223b5ab7090
1311976b81a6
148207a95b6
154a5580d30
hex2cc86b2ac

12021314220 has 96 divisors (see below), whose sum is σ = 37608883200. Its totient is φ = 3187749312.

The previous prime is 12021314219. The next prime is 12021314243. The reversal of 12021314220 is 2241312021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12021314193 and 12021314202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34477 + ... + 158843.

It is an arithmetic number, because the mean of its divisors is an integer number (391759200).

Almost surely, 212021314220 is an apocalyptic number.

12021314220 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 12021314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18804441600).

12021314220 is an abundant number, since it is smaller than the sum of its proper divisors (25587568980).

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

12021314220 is a wasteful number, since it uses less digits than its factorization.

12021314220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124564 (or 124556 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12021314220 its reverse (2241312021), we get a palindrome (14262626241).

The spelling of 12021314220 in words is "twelve billion, twenty-one million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 270 358 537 540 716 895 1074 1611 1790 2148 2685 3222 3580 4833 5370 6444 8055 9666 10740 16110 19332 24165 32220 48330 96660 124367 248734 373101 497468 621835 746202 1119303 1243670 1492404 1865505 2238606 2487340 3357909 3731010 4477212 5596515 6715818 7462020 11193030 13431636 16789545 22261693 22386060 33579090 44523386 66785079 67158180 89046772 111308465 133570158 200355237 222616930 267140316 333925395 400710474 445233860 601065711 667850790 801420948 1001776185 1202131422 1335701580 2003552370 2404262844 3005328555 4007104740 6010657110 12021314220