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120121221200022 = 23272551924676909
BaseRepresentation
bin11011010011111111100110…
…101110000011100010010110
3120202022110212102212000221100
4123103333212232003202112
5111221031230111400042
61103250532135530530
734205320561322400
oct3323774656034226
9522273772760840
10120121221200022
113530213a8a4a49
1211580369b29a46
1352044c861bbb3
142193c80663b70
15dd496693324c
hex6d3fe6b83896

120121221200022 has 72 divisors (see below), whose sum is σ = 302809375533600. Its totient is φ = 34314128942688.

The previous prime is 120121221199951. The next prime is 120121221200051. The reversal of 120121221200022 is 220002122121021.

It is a happy number.

120121221200022 is a `hidden beast` number, since 1 + 201 + 21 + 221 + 200 + 0 + 22 = 666.

It is a super-2 number, since 2×1201212212000222 (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 junction number, because it is equal to n+sod(n) for n = 120121221199968 and 120121221200004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7470697 + ... + 17206212.

It is an arithmetic number, because the mean of its divisors is an integer number (4205685771300).

Almost surely, 2120121221200022 is an apocalyptic number.

120121221200022 is an abundant number, since it is smaller than the sum of its proper divisors (182688154333578).

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

120121221200022 is a wasteful number, since it uses less digits than its factorization.

120121221200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24682450 (or 24682440 counting only the distinct ones).

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

Adding to 120121221200022 its reverse (220002122121021), we get a palindrome (340123343321043).

The spelling of 120121221200022 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 5519 11038 16557 33114 38633 49671 77266 99342 115899 231798 270431 347697 540862 695394 811293 1622586 2433879 4867758 24676909 49353818 74030727 148061454 172738363 222092181 345476726 444184362 518215089 1036430178 1209168541 1554645267 2418337082 3109290534 3627505623 7255011246 10882516869 21765033738 136191860771 272383721542 408575582313 817151164626 953343025397 1225726746939 1906686050794 2451453493878 2860029076191 5720058152382 6673401177779 8580087228573 13346802355558 17160174457146 20020203533337 40040407066674 60060610600011 120121221200022