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222001220121000 = 23353215563343289
BaseRepresentation
bin110010011110100010101111…
…110111010111000110101000
31002010001002221201210222112220
4302132202233313113012220
5213044231444322333000
62104053541432034040
764522026121604535
oct6236425767270650
91063032851728486
10222001220121000
1164811209220131
1220a953a7532920
1396b4818824968
143cb6cb87bbd8c
151a9eb640b51a0
hexc9e8afdd71a8

222001220121000 has 128 divisors (see below), whose sum is σ = 692649037641600. Its totient is φ = 59199878284800.

The previous prime is 222001220120987. The next prime is 222001220121001. The reversal of 222001220121000 is 121022100222.

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

It is not an unprimeable number, because it can be changed into a prime (222001220121001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646517356 + ... + 646860644.

It is an arithmetic number, because the mean of its divisors is an integer number (5411320606575).

Almost surely, 2222001220121000 is an apocalyptic number.

222001220121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222001220121000 is an abundant number, since it is smaller than the sum of its proper divisors (470647817520600).

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

222001220121000 is a wasteful number, since it uses less digits than its factorization.

222001220121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558876 (or 558862 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 222001220121000 its reverse (121022100222), we get a palindrome (222122242221222).

The spelling of 222001220121000 in words is "two hundred twenty-two trillion, one billion, two hundred twenty million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 215563 343289 431126 646689 686578 862252 1029867 1077815 1293378 1373156 1716445 1724504 2059734 2155630 2586756 2746312 3233445 3432890 4119468 4311260 5149335 5173512 5389075 6466890 6865780 8238936 8582225 8622520 10298670 10778150 12933780 13731560 16167225 17164450 20597340 21556300 25746675 25867560 26945375 32334450 34328900 41194680 42911125 43112600 51493350 53890750 64668900 68657800 80836125 85822250 102986700 107781500 128733375 129337800 161672250 171644500 205973400 215563000 257466750 323344500 343289000 514933500 646689000 1029867000 74000406707 148000813414 222001220121 296001626828 370002033535 444002440242 592003253656 740004067070 888004880484 1110006100605 1480008134140 1776009760968 1850010167675 2220012201210 2960016268280 3700020335350 4440024402420 5550030503025 7400040670700 8880048804840 9250050838375 11100061006050 14800081341400 18500101676750 22200122012100 27750152515125 37000203353500 44400244024200 55500305030250 74000406707000 111000610060500 222001220121000