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12011220221110 = 25113133710452083
BaseRepresentation
bin1010111011001001010010…
…0000111011110010110110
31120112021001120220101121021
42232302110200323302312
53033242434334033420
641313513422211354
72346532143222265
oct256622440736266
946467046811537
1012011220221110
113910a25757010
12141ba31423b5a
13691865131486
142d74bbc165dc
1515c68ceb07aa
hexaec9483bcb6

12011220221110 has 64 divisors (see below), whose sum is σ = 24418743957504. Its totient is φ = 4214279462400.

The previous prime is 12011220221051. The next prime is 12011220221111. The reversal of 12011220221110 is 1112202211021.

It is a super-2 number, since 2×120112202211102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011220221111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4076872 + ... + 6375211.

It is an arithmetic number, because the mean of its divisors is an integer number (381542874336).

Almost surely, 212011220221110 is an apocalyptic number.

12011220221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12011220221110 is an abundant number, since it is smaller than the sum of its proper divisors (12407523736394).

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

12011220221110 is a wasteful number, since it uses less digits than its factorization.

12011220221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452469.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12011220221110 its reverse (1112202211021), we get a palindrome (13123422432131).

The spelling of 12011220221110 in words is "twelve trillion, eleven billion, two hundred twenty million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 31 55 62 110 155 310 337 341 674 682 1685 1705 3370 3410 3707 7414 10447 18535 20894 37070 52235 104470 114917 229834 574585 1149170 10452083 20904166 52260415 104520830 114972913 229945826 324014573 574864565 648029146 1149729130 1620072865 3240145730 3522351971 3564160303 7044703942 7128320606 17611759855 17820801515 35223519710 35641603030 38745871681 77491743362 109192911101 193729358405 218385822202 387458716810 545964555505 1091929111010 1201122022111 2402244044222 6005610110555 12011220221110