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12121221042 = 23272137100313
BaseRepresentation
bin10110100100111101…
…10010011110110010
31011021202012211100200
423102132302132302
5144311013033132
65322435500030
7606242451600
oct132236623662
934252184320
1012121221042
115160127857
122423457616
1311b22c8458
1482db74870
154ae217d7c
hex2d27b27b2

12121221042 has 72 divisors (see below), whose sum is σ = 30773727036. Its totient is φ = 3437892864.

The previous prime is 12121221041. The next prime is 12121221103. The reversal of 12121221042 is 24012212121.

It can be written as a sum of positive squares in 2 ways, for example, as 11465912241 + 655308801 = 107079^2 + 25599^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12121221041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70678 + ... + 170990.

Almost surely, 212121221042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121221042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386863518).

12121221042 is an abundant number, since it is smaller than the sum of its proper divisors (18652505994).

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

12121221042 is a wasteful number, since it uses less digits than its factorization.

12121221042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100472 (or 100462 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12121221042 its reverse (24012212121), we get a palindrome (36133433163).

The spelling of 12121221042 in words is "twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 137 147 274 294 411 441 822 882 959 1233 1918 2466 2877 5754 6713 8631 13426 17262 20139 40278 60417 100313 120834 200626 300939 601878 702191 902817 1404382 1805634 2106573 4213146 4915337 6319719 9830674 12639438 13742881 14746011 27485762 29492022 41228643 44238033 82457286 88476066 96200167 123685929 192400334 247371858 288600501 577201002 673401169 865801503 1346802338 1731603006 2020203507 4040407014 6060610521 12121221042