Search a number
-
+
12121021220 = 22572113173547
BaseRepresentation
bin10110100100111100…
…00001101100100100
31011021201211200020212
423102132001230210
5144310440134340
65322431314552
7606240660200
oct132236015444
934251750225
1012121021220
115160000710
12242337ba58
1311b2258509
1482db21b00
154ae1c8a65
hex2d2781b24

12121021220 has 144 divisors (see below), whose sum is σ = 32412768192. Its totient is φ = 3765000960.

The previous prime is 12121021201. The next prime is 12121021261. The reversal of 12121021220 is 2212012121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12121021195 and 12121021204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3415487 + ... + 3419033.

It is an arithmetic number, because the mean of its divisors is an integer number (225088668).

Almost surely, 212121021220 is an apocalyptic number.

12121021220 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 12121021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16206384096).

12121021220 is an abundant number, since it is smaller than the sum of its proper divisors (20291746972).

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

12121021220 is a wasteful number, since it uses less digits than its factorization.

12121021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12121021220 its reverse (2212012121), we get a palindrome (14333033341).

Subtracting from 12121021220 its reverse (2212012121), we obtain a palindrome (9909009099).

The spelling of 12121021220 in words is "twelve billion, one hundred twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 317 385 490 539 634 770 980 1078 1268 1540 1585 2156 2219 2695 3170 3487 3547 4438 5390 6340 6974 7094 8876 10780 11095 13948 14188 15533 17435 17735 22190 24409 24829 31066 34870 35470 39017 44380 48818 49658 62132 69740 70940 77665 78034 97636 99316 122045 124145 155330 156068 170863 173803 195085 244090 248290 273119 310660 341726 347606 390170 488180 496580 546238 683452 695212 780340 854315 869015 1092476 1124399 1365595 1708630 1738030 1911833 2248798 2731190 3417260 3476060 3823666 4497596 5462380 5621995 7647332 7870793 9559165 11243990 12368389 15741586 19118330 22487980 24736778 31483172 38236660 39353965 49473556 55095551 61841945 78707930 86578723 110191102 123683890 157415860 173157446 220382204 247367780 275477755 346314892 432893615 550955510 606051061 865787230 1101911020 1212102122 1731574460 2424204244 3030255305 6060510610 12121021220