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1221210200112 = 243759463133051
BaseRepresentation
bin10001110001010101110…
…011001101100000110000
311022202011020102220200120
4101301111303031200300
5130002014302400422
62333003300450240
7154141504300110
oct21612563154060
94282136386616
101221210200112
11430a043593a1
121788189a9980
138b20c918786
144316d437040
1521b76d0945c
hex11c55ccd830

1221210200112 has 160 divisors (see below), whose sum is σ = 3674534338560. Its totient is φ = 342259948800.

The previous prime is 1221210200107. The next prime is 1221210200209. The reversal of 1221210200112 is 2110020121221.

It is a junction number, because it is equal to n+sod(n) for n = 1221210200091 and 1221210200100.

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, 9111987 + ... + 9245037.

It is an arithmetic number, because the mean of its divisors is an integer number (22965839616).

Almost surely, 21221210200112 is an apocalyptic number.

1221210200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221210200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837267169280).

1221210200112 is an abundant number, since it is smaller than the sum of its proper divisors (2453324138448).

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

1221210200112 is a wasteful number, since it uses less digits than its factorization.

1221210200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133591 (or 133585 counting only the distinct ones).

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

Adding to 1221210200112 its reverse (2110020121221), we get a palindrome (3331230321333).

The spelling of 1221210200112 in words is "one trillion, two hundred twenty-one billion, two hundred ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 463 472 708 826 926 944 1239 1389 1416 1652 1852 2478 2778 2832 3241 3304 3704 4956 5556 6482 6608 7408 9723 9912 11112 12964 19446 19824 22224 25928 27317 38892 51856 54634 77784 81951 109268 133051 155568 163902 191219 218536 266102 327804 382438 399153 437072 532204 573657 655608 764876 798306 931357 1064408 1147314 1311216 1529752 1596612 1862714 2128816 2294628 2794071 3059504 3193224 3725428 4589256 5588142 6386448 7450856 7850009 9178512 11176284 14901712 15700018 22352568 23550027 31400036 44705136 47100054 54950063 61602613 62800072 94200108 109900126 123205226 125600144 164850189 184807839 188400216 219800252 246410452 329700378 369615678 376800432 431218291 439600504 492820904 659400756 739231356 862436582 879201008 985641808 1293654873 1318801512 1478462712 1724873164 2587309746 2637603024 2956925424 3449746328 3634554167 5174619492 6899492656 7269108334 10349238984 10903662501 14538216668 20698477968 21807325002 25441879169 29076433336 43614650004 50883758338 58152866672 76325637507 87229300008 101767516676 152651275014 174458600016 203535033352 305302550028 407070066704 610605100056 1221210200112