Search a number
-
+
1012212101120 = 2125114493129
BaseRepresentation
bin11101011101011001000…
…10101111000000000000
310120202200210122102212112
432232230202233000000
5113041002244213440
62053000454114452
7133062362620253
oct16565442570000
93522623572775
101012212101120
11360305385250
1214420b94ba28
13745b336368c
1436dc42b709a
151b4e3931965
hexebac8af000

1012212101120 has 104 divisors (see below), whose sum is σ = 2649832403760. Its totient is φ = 368077045760.

The previous prime is 1012212101119. The next prime is 1012212101179. The reversal of 1012212101120 is 211012122101.

It is a junction number, because it is equal to n+sod(n) for n = 1012212101095 and 1012212101104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2021285 + ... + 2471844.

Almost surely, 21012212101120 is an apocalyptic number.

1012212101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012212101120 is an abundant number, since it is smaller than the sum of its proper divisors (1637620302640).

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

1012212101120 is an equidigital number, since it uses as much as digits as its factorization.

1012212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493169 (or 4493147 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012212101120 its reverse (211012122101), we get a palindrome (1223224223221).

The spelling of 1012212101120 in words is "one trillion, twelve billion, two hundred twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5120 5632 7040 10240 11264 14080 20480 22528 28160 45056 56320 112640 225280 4493129 8986258 17972516 22465645 35945032 44931290 49424419 71890064 89862580 98848838 143780128 179725160 197697676 247122095 287560256 359450320 395395352 494244190 575120512 718900640 790790704 988488380 1150241024 1437801280 1581581408 1976976760 2300482048 2875602560 3163162816 3953953520 4600964096 5751205120 6326325632 7907907040 9201928192 11502410240 12652651264 15815814080 18403856384 23004820480 25305302528 31631628160 46009640960 50610605056 63263256320 92019281920 101221210112 126526512640 202442420224 253053025280 506106050560 1012212101120