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12000222120100 = 22521934331839763
BaseRepresentation
bin1010111010100000010011…
…1110100000100010100100
31120111012200010000222021211
42232220010332200202210
53033102423330320400
641304454222521204
72345662456005664
oct256500476404244
946435603028254
1012000222120100
1139072a15a5a35
121419882136204
136908017202b6
142d6b572bc1a4
1515c247698dba
hexaea04fa08a4

12000222120100 has 72 divisors (see below), whose sum is σ = 27419033159840. Its totient is φ = 4546125492480.

The previous prime is 12000222120049. The next prime is 12000222120101. The reversal of 12000222120100 is 102122200021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12000222120101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5602819 + ... + 7442581.

Almost surely, 212000222120100 is an apocalyptic number.

12000222120100 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 12000222120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13709516579920).

12000222120100 is an abundant number, since it is smaller than the sum of its proper divisors (15418811039740).

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

12000222120100 is a wasteful number, since it uses less digits than its factorization.

12000222120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843229 (or 1843222 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12000222120100 its reverse (102122200021), we get a palindrome (12102344320121).

The spelling of 12000222120100 in words is "twelve trillion, two hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1900 3433 6866 13732 17165 34330 65227 68660 85825 130454 171650 260908 326135 343300 652270 1304540 1630675 1839763 3261350 3679526 6522700 7359052 9198815 18397630 34955497 36795260 45994075 69910994 91988150 139821988 174777485 183976300 349554970 699109940 873887425 1747774850 3495549700 6315906379 12631812758 25263625516 31579531895 63159063790 120002221201 126318127580 157897659475 240004442402 315795318950 480008884804 600011106005 631590637900 1200022212010 2400044424020 3000055530025 6000111060050 12000222120100