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121021211120112 = 24326763891963321
BaseRepresentation
bin11011100001000101110010…
…010011001001000111110000
3120212111111220021200000010200
4123201011302103021013300
5111330302420021320422
61105220213223155200
734330331300401422
oct3341056223110760
9525444807600120
10121021211120112
113561989772a636
12116a687a8a5b00
13526b335c88c54
1421c565a584812
15ded08d11d2ac
hex6e11724c91f0

121021211120112 has 120 divisors (see below), whose sum is σ = 343800378202320. Its totient is φ = 39732068090880.

The previous prime is 121021211120057. The next prime is 121021211120129. The reversal of 121021211120112 is 211021112120121.

It is a happy number.

121021211120112 is a `hidden beast` number, since 1 + 210 + 212 + 11 + 120 + 112 = 666.

It is a super-2 number, since 2×1210212111201122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60659412 + ... + 62622732.

It is an arithmetic number, because the mean of its divisors is an integer number (2865003151686).

Almost surely, 2121021211120112 is an apocalyptic number.

121021211120112 is a gapful number since it is divisible by the number (12) 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 121021211120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171900189101160).

121021211120112 is an abundant number, since it is smaller than the sum of its proper divisors (222779167082208).

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

121021211120112 is a wasteful number, since it uses less digits than its factorization.

121021211120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969791 (or 1969782 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121021211120112 its reverse (211021112120121), we get a palindrome (332042323240233).

The spelling of 121021211120112 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred eleven million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2412 3216 4824 6389 9648 12778 19167 25556 38334 51112 57501 76668 102224 115002 153336 230004 306672 428063 460008 856126 920016 1284189 1712252 1963321 2568378 3424504 3852567 3926642 5136756 5889963 6849008 7705134 7853284 10273512 11779926 15410268 15706568 17669889 20547024 23559852 30820536 31413136 35339778 47119704 61641072 70679556 94239408 131542507 141359112 263085014 282718224 394627521 526170028 789255042 1052340056 1183882563 1578510084 2104680112 2367765126 3157020168 4735530252 6314040336 9471060504 12543657869 18942121008 25087315738 37630973607 50174631476 75261947214 100349262952 112892920821 150523894428 200698525904 225785841642 301047788856 451571683284 602095577712 840425077223 903143366568 1680850154446 1806286733136 2521275231669 3361700308892 5042550463338 6723400617784 7563825695007 10085100926676 13446801235568 15127651390014 20170201853352 30255302780028 40340403706704 60510605560056 121021211120112