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212120201031123 = 37117933593460453
BaseRepresentation
bin110000001110110000010101…
…001110110110110111010011
31000211001111022112011012201110
4300032300111032312313103
5210300334132430443443
62031050401452504403
762452115216253150
oct6016602516666723
91024044275135643
10212120201031123
11616517435799a0
121b95a39617b103
139148b066c1548
143a5495b519227
15197caee925233
hexc0ec153b6dd3

212120201031123 has 64 divisors (see below), whose sum is σ = 357185293516800. Its totient is φ = 108765051557760.

The previous prime is 212120201031121. The next prime is 212120201031127. The reversal of 212120201031123 is 321130102021212.

It is not a de Polignac number, because 212120201031123 - 21 = 212120201031121 is a prime.

It is a super-2 number, since 2×2121202010311232 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 212120201031123.

It is not an unprimeable number, because it can be changed into a prime (212120201031121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59568165 + ... + 63028617.

It is an arithmetic number, because the mean of its divisors is an integer number (5581020211200).

Almost surely, 2212120201031123 is an apocalyptic number.

212120201031123 is a deficient number, since it is larger than the sum of its proper divisors (145065092485677).

212120201031123 is a wasteful number, since it uses less digits than its factorization.

212120201031123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463912.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 212120201031123 its reverse (321130102021212), we get a palindrome (533250303052335).

The spelling of 212120201031123 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred one million, thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 11 21 33 77 79 231 237 553 869 1659 2607 3359 6083 10077 18249 23513 36949 70539 110847 258643 265361 775929 796083 1857527 2918971 3460453 5572581 8756913 10381359 20432797 24223171 38064983 61298391 72669513 114194949 266454881 273375787 799364643 820127361 1913630509 3007133657 5740891527 9021400971 11623661627 21049935599 34870984881 63149806797 81365631389 127860277897 244096894167 383580833691 895021945279 918269268533 2685065835837 2754807805599 6427884879731 10100961953863 19283654639193 30302885861589 70706733677041 212120201031123