Search a number
-
+
120120112022001 = 37131975147433943
BaseRepresentation
bin11011010011111110100100…
…100110111000000111110001
3120202022101000010201221201220
4123103332210212320013301
5111221021442134201001
61103250230114215253
734205251232422260
oct3323764446700761
9522271003657656
10120120112022001
11353017207910a3
12115800ba584529
13520437c8a6840
142193bb72165d7
15dd48ee387c36
hex6d3fa49b81f1

120120112022001 has 64 divisors (see below), whose sum is σ = 198159743029248. Its totient is φ = 63026041575168.

The previous prime is 120120112021993. The next prime is 120120112022011. The reversal of 120120112022001 is 100220211021021.

It is not a de Polignac number, because 120120112022001 - 23 = 120120112021993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120120112022011) 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, 276593836 + ... + 277027778.

It is an arithmetic number, because the mean of its divisors is an integer number (3096245984832).

Almost surely, 2120120112022001 is an apocalyptic number.

It is an amenable number.

120120112022001 is a deficient number, since it is larger than the sum of its proper divisors (78039631007247).

120120112022001 is a wasteful number, since it uses less digits than its factorization.

120120112022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439310.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120120112022001 its reverse (100220211021021), we get a palindrome (220340323043022).

The spelling of 120120112022001 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred twelve million, twenty-two thousand, one".

Divisors: 1 3 7 13 21 39 91 197 273 591 1379 2561 4137 5147 7683 15441 17927 36029 53781 66911 108087 200733 433943 468377 1013959 1301829 1405131 3037601 3041877 5641259 7097713 9112803 13181467 16923777 21293139 39488813 39544401 85486771 92270269 118466439 256460313 276810807 598407397 1111328023 1795222191 2233504621 3333984069 6700513863 7779296161 15634532347 23337888483 29035560073 46903597041 87106680219 203248920511 440000410337 609746761533 1320001231011 3080002872359 5720005334381 9240008617077 17160016003143 40040037340667 120120112022001