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12022101121020 = 22352359147655381
BaseRepresentation
bin1010111011110001110100…
…0100010001011111111100
31120120022010220020101020020
42232330131010101133330
53033432230341333040
641322513233452140
72350365605312454
oct256743504213774
946508126211206
1012022101121020
1139155a9738181
121421b69411050
136928aa4886a3
142d7c30d62d64
1515cac8375cd0
hexaef1d1117fc

12022101121020 has 96 divisors (see below), whose sum is σ = 35720790013440. Its totient is φ = 3014532238080.

The previous prime is 12022101120979. The next prime is 12022101121133. The reversal of 12022101121020 is 2012110122021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73746271 + ... + 73909110.

It is an arithmetic number, because the mean of its divisors is an integer number (372091562640).

Almost surely, 212022101121020 is an apocalyptic number.

12022101121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022101121020 is an abundant number, since it is smaller than the sum of its proper divisors (23698688892420).

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

12022101121020 is a wasteful number, since it uses less digits than its factorization.

12022101121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147655475 (or 147655473 counting only the distinct ones).

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

Adding to 12022101121020 its reverse (2012110122021), we get a palindrome (14034211243041).

The spelling of 12022101121020 in words is "twelve trillion, twenty-two billion, one hundred one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 59 60 69 92 115 118 138 177 230 236 276 295 345 354 460 590 690 708 885 1180 1357 1380 1770 2714 3540 4071 5428 6785 8142 13570 16284 20355 27140 40710 81420 147655381 295310762 442966143 590621524 738276905 885932286 1476553810 1771864572 2214830715 2953107620 3396073763 4429661430 6792147526 8711667479 8859322860 10188221289 13584295052 16980368815 17423334958 20376442578 26135002437 33960737630 34846669916 40752885156 43558337395 50941106445 52270004874 67921475260 87116674790 101882212890 104540009748 130675012185 174233349580 200368352017 203764425780 261350024370 400736704034 522700048740 601105056051 801473408068 1001841760085 1202210112102 2003683520170 2404420224204 3005525280255 4007367040340 6011050560510 12022101121020