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12011200220010 = 23518110312145497
BaseRepresentation
bin1010111011001001001101…
…0100101000101101101010
31120112021000012021020020210
42232302103110220231222
53033242414224020020
641313511425401550
72346531511220115
oct256622324505552
946467005236223
1012011200220010
113910a15435982
12141ba267992b6
13691860c4a6c4
142d74b92cb57c
1515c68b35e3e0
hexaec93528b6a

12011200220010 has 64 divisors (see below), whose sum is σ = 29014273177344. Its totient is φ = 3182199667200.

The previous prime is 12011200219961. The next prime is 12011200220017. The reversal of 12011200220010 is 1002200211021.

12011200220010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12011200220017) 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, 4525582 + ... + 6671078.

It is an arithmetic number, because the mean of its divisors is an integer number (453348018396).

Almost surely, 212011200220010 is an apocalyptic number.

12011200220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12011200220010 is an abundant number, since it is smaller than the sum of its proper divisors (17003072957334).

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

12011200220010 is a wasteful number, since it uses less digits than its factorization.

12011200220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146719.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011200220010 its reverse (1002200211021), we get a palindrome (13013400431031).

The spelling of 12011200220010 in words is "twelve trillion, eleven billion, two hundred million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 181 362 543 905 1031 1086 1810 2062 2715 3093 5155 5430 6186 10310 15465 30930 186611 373222 559833 933055 1119666 1866110 2145497 2799165 4290994 5598330 6436491 10727485 12872982 21454970 32182455 64364910 388334957 776669914 1165004871 1941674785 2212007407 2330009742 3883349570 4424014814 5825024355 6636022221 11060037035 11650048710 13272044442 22120074070 33180111105 66360222210 400373340667 800746681334 1201120022001 2001866703335 2402240044002 4003733406670 6005600110005 12011200220010