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201000001212120 = 233511433541226237
BaseRepresentation
bin101101101100111011110101…
…101011000000111011011000
3222100200102010200100001202210
4231230323311223000323120
5202321141000302241440
61551254043101555120
760223525256342445
oct5554736553007330
9870612120301683
10201000001212120
11590546926969a0
121a663191875aa0
1388202ac890346
14378c6482a49cc
151838710994a80
hexb6cef5ac0ed8

201000001212120 has 128 divisors (see below), whose sum is σ = 673116283319040. Its totient is φ = 47594080611840.

The previous prime is 201000001212061. The next prime is 201000001212151. The reversal of 201000001212120 is 21212100000102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201000001212096 and 201000001212105.

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, 1770556359 + ... + 1770669878.

It is an arithmetic number, because the mean of its divisors is an integer number (5258720963430).

Almost surely, 2201000001212120 is an apocalyptic number.

201000001212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000001212120 is an abundant number, since it is smaller than the sum of its proper divisors (472116282106920).

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

201000001212120 is a wasteful number, since it uses less digits than its factorization.

201000001212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541226305 (or 3541226301 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201000001212120 its reverse (21212100000102), we get a palindrome (222212101212222).

The spelling of 201000001212120 in words is "two hundred one trillion, one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 3541226237 7082452474 10623678711 14164904948 17706131185 21247357422 28329809896 35412262370 38953488607 42494714844 53118393555 70824524740 77906977214 84989429688 106236787110 116860465821 141649049480 152272728191 155813954428 194767443035 212473574220 233720931642 304545456382 311627908856 389534886070 424947148440 456818184573 467441863284 584302329105 609090912764 761363640955 779069772140 913636369146 934883726568 1168604658210 1218181825528 1522727281910 1558139544280 1675000010101 1827272738292 2284090922865 2337209316420 3045454563820 3350000020202 3654545476584 4568181845730 4674418632840 5025000030303 6090909127640 6700000040404 8375000050505 9136363691460 10050000060606 13400000080808 16750000101010 18272727382920 20100000121212 25125000151515 33500000202020 40200000242424 50250000303030 67000000404040 100500000606060 201000001212120