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201201121200120 = 233593971053116943
BaseRepresentation
bin101101101111110111001001…
…010110111000011111111000
3222101101122021002002000222020
4231233313021112320133320
5202332434344011400440
61551530304041154440
760244205230131546
oct5557671126703770
9871348232060866
10201201121200120
1159121a09684708
121a69616048ba20
138836251c3acc2
143798287008d96
15183da823ec3d0
hexb6fdc95b87f8

201201121200120 has 128 divisors (see below), whose sum is σ = 603760552842240. Its totient is φ = 53639662302720.

The previous prime is 201201121200083. The next prime is 201201121200133. The reversal of 201201121200120 is 21002121102102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201201121200120.

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, 11875168369 + ... + 11875185311.

It is an arithmetic number, because the mean of its divisors is an integer number (4716879319080).

Almost surely, 2201201121200120 is an apocalyptic number.

201201121200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201121200120 is an abundant number, since it is smaller than the sum of its proper divisors (402559431642120).

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

201201121200120 is a wasteful number, since it uses less digits than its factorization.

201201121200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36885 (or 36881 counting only the distinct ones).

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

Adding to 201201121200120 its reverse (21002121102102), we get a palindrome (222203242302222).

The spelling of 201201121200120 in words is "two hundred one trillion, two hundred one billion, one hundred twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9397 10531 16943 18794 21062 28191 31593 33886 37588 42124 46985 50829 52655 56382 63186 67772 75176 84248 84715 93970 101658 105310 112764 126372 135544 140955 157965 169430 187940 203316 210620 225528 252744 254145 281910 315930 338860 375880 406632 421240 508290 563820 631860 677720 1016580 1127640 1263720 2033160 98959807 159213371 178426733 197919614 296879421 318426742 356853466 395839228 477640113 494799035 535280199 593758842 636853484 713706932 791678456 796066855 892133665 955280226 989598070 1070560398 1187517684 1273706968 1427413864 1484397105 1592133710 1784267330 1910560452 1979196140 2141120796 2375035368 2388200565 2676400995 2968794210 3184267420 3568534660 3821120904 3958392280 4282241592 4776401130 5352801990 5937588420 6368534840 7137069320 9552802260 10705603980 11875176840 19105604520 21411207960 1676676010001 3353352020002 5030028030003 6706704040004 8383380050005 10060056060006 13413408080008 16766760100010 20120112120012 25150140150015 33533520200020 40240224240024 50300280300030 67067040400040 100600560600060 201201121200120