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120220131114144 = 2533239582191089
BaseRepresentation
bin11011010101011011101110…
…001101011011110010100000
3120202122221011122022021111000
4123111123232031123302200
5111224141312031123034
61103404211002352000
734215421630606065
oct3325335615336240
9522587148267430
10120220131114144
1135340086977426
12115975727bb600
13521092c33c3b9
142198984a06c6c
15dd73050e4599
hex6d56ee35bca0

120220131114144 has 96 divisors (see below), whose sum is σ = 352109171232000. Its totient is φ = 39905705935872.

The previous prime is 120220131114101. The next prime is 120220131114151. The reversal of 120220131114144 is 441411131022021.

120220131114144 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 201 + 31 + 11 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290889049 + ... + 291302040.

It is an arithmetic number, because the mean of its divisors is an integer number (3667803867000).

Almost surely, 2120220131114144 is an apocalyptic number.

It is an amenable number.

120220131114144 is an abundant number, since it is smaller than the sum of its proper divisors (231889040117856).

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

120220131114144 is a wasteful number, since it uses less digits than its factorization.

120220131114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582191347 (or 582191333 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 120220131114144 its reverse (441411131022021), we get a palindrome (561631262136165).

The spelling of 120220131114144 in words is "one hundred twenty trillion, two hundred twenty billion, one hundred thirty-one million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 239 288 432 478 717 864 956 1434 1912 2151 2868 3824 4302 5736 6453 7648 8604 11472 12906 17208 22944 25812 34416 51624 68832 103248 206496 582191089 1164382178 1746573267 2328764356 3493146534 4657528712 5239719801 6986293068 9315057424 10479439602 13972586136 15719159403 18630114848 20958879204 27945172272 31438318806 41917758408 55890344544 62876637612 83835516816 125753275224 139143670271 167671033632 251506550448 278287340542 417431010813 503013100896 556574681084 834862021626 1113149362168 1252293032439 1669724043252 2226298724336 2504586064878 3339448086504 3756879097317 4452597448672 5009172129756 6678896173008 7513758194634 10018344259512 13357792346016 15027516389268 20036688519024 30055032778536 40073377038048 60110065557072 120220131114144