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220112001221200 = 245211387831289881
BaseRepresentation
bin110010000011000011010001…
…101001001100001001010000
31001212100111112211011002222221
4302003003101221030021100
5212322303334303034300
62100050020222310424
764235365404116134
oct6203032151141120
91055314484132887
10220112001221200
1164152a80421610
122082b21ba28414
1395a861b55396a
143c4d698b5b3c4
151a6a941a7231a
hexc830d1a4c250

220112001221200 has 120 divisors (see below), whose sum is σ = 576908867183616. Its totient is φ = 80038601856000.

The previous prime is 220112001221179. The next prime is 220112001221303. The reversal of 220112001221200 is 2122100211022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170000260 + ... + 171290140.

Almost surely, 2220112001221200 is an apocalyptic number.

220112001221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220112001221200 is an abundant number, since it is smaller than the sum of its proper divisors (356796865962416).

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

220112001221200 is a wasteful number, since it uses less digits than its factorization.

220112001221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328693 (or 1328682 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220112001221200 its reverse (2122100211022), we get a palindrome (222234101432222).

It can be divided in two parts, 22011200 and 1221200, that added together give a square (23232400 = 48202).

The spelling of 220112001221200 in words is "two hundred twenty trillion, one hundred twelve billion, one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 38783 77566 155132 193915 310264 387830 426613 620528 775660 853226 969575 1289881 1551320 1706452 1939150 2133065 2579762 3102640 3412904 3878300 4266130 5159524 6449405 6825808 7756600 8532260 10319048 10665325 12898810 14188691 15513200 17064520 20638096 21330650 25797620 28377382 32247025 34129040 42661300 51595240 56754764 64494050 70943455 85322600 103190480 113509528 128988100 141886910 170645200 227019056 257976200 283773820 354717275 515952400 567547640 709434550 1135095280 1418869100 2837738200 5675476400 50025454823 100050909646 200101819292 250127274115 400203638584 500254548230 550280003053 800407277168 1000509096460 1100560006106 1250636370575 2001018192920 2201120012212 2501272741150 2751400015265 4002036385840 4402240024424 5002545482300 5502800030530 8804480048848 10005090964600 11005600061060 13757000076325 20010181929200 22011200122120 27514000152650 44022400244240 55028000305300 110056000610600 220112001221200