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12002220223300 = 225231211127714369
BaseRepresentation
bin1010111010100111110000…
…0100101010101101000100
31120111101211100211010121001
42232221330010222231010
53033121021334121200
641305424401103044
72346063130420516
oct256517404525504
946441740733531
1012002220223300
11390812746749a
12141a13b327a84
13690a5c682198
142d6ca6801bb6
1515c312cd476a
hexaea7c12ab44

12002220223300 has 144 divisors (see below), whose sum is σ = 27035424622080. Its totient is φ = 4620059136000.

The previous prime is 12002220223289. The next prime is 12002220223337. The reversal of 12002220223300 is 332202220021.

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, 835278516 + ... + 835292884.

It is an arithmetic number, because the mean of its divisors is an integer number (187746004320).

Almost surely, 212002220223300 is an apocalyptic number.

12002220223300 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 12002220223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517712311040).

12002220223300 is an abundant number, since it is smaller than the sum of its proper divisors (15033204398780).

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

12002220223300 is a wasteful number, since it uses less digits than its factorization.

12002220223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15902 (or 15895 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 12002220223300 its reverse (332202220021), we get a palindrome (12334422443321).

The spelling of 12002220223300 in words is "twelve trillion, two billion, two hundred twenty million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 211 310 422 620 775 844 1055 1277 1550 2110 2554 3100 4220 5108 5275 6385 6541 10550 12770 13082 14369 21100 25540 26164 28738 31925 32705 39587 57476 63850 65410 71845 79174 127700 130820 143690 158348 163525 197935 269447 287380 327050 359225 395870 445439 538894 654100 718450 791740 890878 989675 1077788 1347235 1436900 1781756 1979350 2227195 2694470 3031859 3958700 4454390 5388940 6063718 6736175 8352857 8908780 11135975 12127436 13472350 15159295 16705714 18349213 22271950 26944700 30318590 33411428 36698426 41764285 44543900 60637180 73396852 75796475 83528570 91746065 93987629 151592950 167057140 183492130 187975258 208821425 303185900 366984260 375950516 417642850 458730325 469938145 568825603 835285700 917460650 939876290 1137651206 1834921300 1879752580 2275302412 2349690725 2844128015 3871683943 4699381450 5688256030 7743367886 9398762900 11376512060 14220640075 15486735772 19358419715 28441280150 38716839430 56882560300 77433678860 96792098575 120022202233 193584197150 240044404466 387168394300 480088808932 600111011165 1200222022330 2400444044660 3000555055825 6001110111650 12002220223300