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12000022223020 = 22513281312152627
BaseRepresentation
bin1010111010011111100100…
…0011111101100010101100
31120111012011011220011001021
42232213321003331202230
53033102021142114040
641304422322223524
72345654510630446
oct256477103754254
946435134804037
1012000022223020
1139071a9783337
1214198271b4ba4
1369079c1a0ac0
142d6b38925496
1515c234d6024a
hexae9f90fd8ac

12000022223020 has 96 divisors (see below), whose sum is σ = 27244334206656. Its totient is φ = 4413511065600.

The previous prime is 12000022222987. The next prime is 12000022223023. The reversal of 12000022223020 is 2032222000021.

It is a junction number, because it is equal to n+sod(n) for n = 12000022222985 and 12000022223003.

It is not an unprimeable number, because it can be changed into a prime (12000022223023) 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, 227993947 + ... + 228046573.

It is an arithmetic number, because the mean of its divisors is an integer number (283795147986).

Almost surely, 212000022223020 is an apocalyptic number.

12000022223020 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 12000022223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13622167103328).

12000022223020 is an abundant number, since it is smaller than the sum of its proper divisors (15244311983636).

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

12000022223020 is a wasteful number, since it uses less digits than its factorization.

12000022223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56051 (or 56049 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12000022223020 its reverse (2032222000021), we get a palindrome (14032244223041).

The spelling of 12000022223020 in words is "twelve trillion, twenty-two million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 281 562 1124 1405 2810 3121 3653 5620 6242 7306 12484 14612 15605 18265 31210 36530 40573 52627 62420 73060 81146 105254 162292 202865 210508 263135 405730 526270 684151 811460 877001 1052540 1368302 1754002 2736604 3420755 3508004 4385005 6841510 8770010 11401013 13683020 14788187 17540020 22802026 29576374 45604052 57005065 59152748 73940935 114010130 147881870 164248867 192246431 228020260 295763740 328497734 384492862 656995468 768985724 821244335 961232155 1642488670 1922464310 2135235271 3284977340 3844928620 4270470542 8540941084 10676176355 21352352710 42704705420 46153931627 92307863254 184615726508 230769658135 461539316270 600001111151 923078632540 1200002222302 2400004444604 3000005555755 6000011111510 12000022223020