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12001022331220 = 22513313371441697
BaseRepresentation
bin1010111010100011010010…
…1011000100100101010100
31120111021201212202220120201
42232220310223010211110
53033111043204044340
641305105450110244
72346021343462006
oct256506453044524
946437655686521
1012001022331220
11390767227043a
121419a6611b384
136908cb4482c0
142d6bd16a0376
1515c292a6379a
hexaea34ac4954

12001022331220 has 96 divisors (see below), whose sum is σ = 28024656823296. Its totient is φ = 4286924697600.

The previous prime is 12001022331203. The next prime is 12001022331289. The reversal of 12001022331220 is 2213322010021.

It is a super-2 number, since 2×120010223312202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 26949412 + ... + 27391108.

It is an arithmetic number, because the mean of its divisors is an integer number (291923508576).

Almost surely, 212001022331220 is an apocalyptic number.

12001022331220 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 12001022331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012328411648).

12001022331220 is an abundant number, since it is smaller than the sum of its proper divisors (16023634492076).

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

12001022331220 is a wasteful number, since it uses less digits than its factorization.

12001022331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445121 (or 445119 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12001022331220 its reverse (2213322010021), we get a palindrome (14214344341241).

The spelling of 12001022331220 in words is "twelve trillion, one billion, twenty-two million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 3371 4030 6742 8060 13484 16855 33710 43823 67420 87646 104501 175292 209002 219115 418004 438230 441697 522505 876460 883394 1045010 1358513 1766788 2090020 2208485 2717026 4416970 5434052 5742061 6792565 8833940 11484122 13585130 13692607 22968244 27170260 27385214 28710305 54770428 57420610 68463035 114841220 136926070 178003891 273852140 356007782 712015564 890019455 1488960587 1780038910 2977921174 3560077820 5955842348 7444802935 14889605870 19356487631 29779211740 38712975262 46157778197 77425950524 92315556394 96782438155 184631112788 193564876310 230788890985 387129752620 461577781970 600051116561 923155563940 1200102233122 2400204466244 3000255582805 6000511165610 12001022331220