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121122202011120 = 24325971734281243
BaseRepresentation
bin11011100010100011110101…
…110100110100010111110000
3120212212011120111211211022100
4123202203311310310113300
5111333431232203323440
61105334434344340400
734340535035662122
oct3342436564642760
9525764514754270
10121122202011120
1135658701427822
1211702364474700
135277a0bb6671b
1421ca4bb061212
15e009ee33a230
hex6e28f5d345f0

121122202011120 has 120 divisors (see below), whose sum is σ = 410962220703216. Its totient is φ = 31966271852544.

The previous prime is 121122202011077. The next prime is 121122202011131. The reversal of 121122202011120 is 21110202221121.

121122202011120 is a `hidden beast` number, since 1 + 211 + 2 + 220 + 201 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 121122202011093 and 121122202011102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867070782 + ... + 867210461.

Almost surely, 2121122202011120 is an apocalyptic number.

121122202011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122202011120 is an abundant number, since it is smaller than the sum of its proper divisors (289840018692096).

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

121122202011120 is a wasteful number, since it uses less digits than its factorization.

121122202011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734281359 (or 1734281350 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121122202011120 its reverse (21110202221121), we get a palindrome (142232404232241).

The spelling of 121122202011120 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 97 120 144 180 194 240 291 360 388 485 582 720 776 873 970 1164 1455 1552 1746 1940 2328 2910 3492 3880 4365 4656 5820 6984 7760 8730 11640 13968 17460 23280 34920 69840 1734281243 3468562486 5202843729 6937124972 8671406215 10405687458 13874249944 15608531187 17342812430 20811374916 26014218645 27748499888 31217062374 34685624860 41622749832 52028437290 62434124748 69371249720 78042655935 83245499664 104056874580 124868249496 138742499440 156085311870 168225280571 208113749160 249736498992 312170623740 336450561142 416227498320 504675841713 624341247480 672901122284 841126402855 1009351683426 1248682494960 1345802244568 1514027525139 1682252805710 2018703366852 2523379208565 2691604489136 3028055050278 3364505611420 4037406733704 5046758417130 6056110100556 6729011222840 7570137625695 8074813467408 10093516834260 12112220201112 13458022445680 15140275251390 20187033668520 24224440402224 30280550502780 40374067337040 60561101005560 121122202011120