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12211322001020 = 2258961388112703
BaseRepresentation
bin1011000110110010101110…
…0000101001011001111100
31121020101120000201000212222
42301230223200221121330
53100032241413013040
641545445345544512
72400144641253602
oct261545340513174
947211500630788
1012211322001020
113988879a14a3a
121452777045138
136a76a456833c
1430306162d872
151629a033bbb5
hexb1b2b82967c

12211322001020 has 96 divisors (see below), whose sum is σ = 26005741493760. Its totient is φ = 4815915540480.

The previous prime is 12211322000987. The next prime is 12211322001023. The reversal of 12211322001020 is 2010022311221.

12211322001020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12211322001020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211322001023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961287989 + ... + 961300691.

It is an arithmetic number, because the mean of its divisors is an integer number (270893140560).

Almost surely, 212211322001020 is an apocalyptic number.

12211322001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211322001020 is an abundant number, since it is smaller than the sum of its proper divisors (13794419492740).

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

12211322001020 is a wasteful number, since it uses less digits than its factorization.

12211322001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14295 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12211322001020 its reverse (2010022311221), we get a palindrome (14221344312241).

The spelling of 12211322001020 in words is "twelve trillion, two hundred eleven billion, three hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 613 881 890 1226 1762 1780 2452 3065 3524 4405 6130 8810 12260 12703 17620 25406 50812 54557 63515 78409 109114 127030 156818 218228 254060 272785 313636 392045 540053 545570 784090 1080106 1091140 1130567 1568180 2160212 2261134 2700265 4522268 5400530 5652835 7786939 10801060 11191343 11305670 15573878 22382686 22611340 31147756 38934695 44765372 48064717 55956715 77869390 96129434 111913430 155738780 192258868 223826860 240323585 480647170 693037571 961294340 996029527 1386075142 1992059054 2772150284 3465187855 3984118108 4980147635 6860293259 6930375710 9960295270 13720586518 13860751420 19920590540 27441173036 34301466295 68602932590 137205865180 610566100051 1221132200102 2442264400204 3052830500255 6105661000510 12211322001020