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20012012202112 = 27727094500269
BaseRepresentation
bin1001000110011011010001…
…11000001110100010000000
32121212010111112112121011021
410203031220320032202000
510110334100110431422
6110321220321155224
74133551214036200
oct443155070164200
977763445477137
1020012012202112
1164160571a32a7
1222b256648bb14
13b22180b2b538
144d282d734400
1524a859716dc7
hex123368e0e880

20012012202112 has 96 divisors (see below), whose sum is σ = 46442111359500. Its totient is φ = 8564478031872.

The previous prime is 20012012202107. The next prime is 20012012202113. The reversal of 20012012202112 is 21120221021002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19275120438336 + 736891763776 = 4390344^2 + 858424^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20012012202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2196714 + ... + 6696982.

Almost surely, 220012012202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012012202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23221055679750).

20012012202112 is an abundant number, since it is smaller than the sum of its proper divisors (26430099157388).

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

20012012202112 is an equidigital number, since it uses as much as digits as its factorization.

20012012202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501006 (or 4500987 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20012012202112 its reverse (21120221021002), we get a palindrome (41132233223114).

The spelling of 20012012202112 in words is "twenty trillion, twelve billion, twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 709 784 896 1418 1568 2836 3136 4963 5672 6272 9926 11344 19852 22688 34741 39704 45376 69482 79408 90752 138964 158816 277928 317632 555856 635264 1111712 2223424 4446848 4500269 9000538 18001076 31501883 36002152 63003766 72004304 126007532 144008608 220513181 252015064 288017216 441026362 504030128 576034432 882052724 1008060256 1764105448 2016120512 3190690721 3528210896 4032241024 6381381442 7056421792 12762762884 14112843584 22334835047 25525525768 28225687168 44669670094 51051051536 89339340188 102102103072 156343845329 178678680376 204204206144 312687690658 357357360752 408408412288 625375381316 714714721504 1250750762632 1429429443008 2501501525264 2858858886016 5003003050528 10006006101056 20012012202112