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1001120101212 = 2237117091528157
BaseRepresentation
bin11101001000101110110…
…10000111001101011100
310112201001210002110111010
432210113122013031130
5112400243221214322
62043524102055220
7132220455312150
oct16442732071534
93481053073433
101001120101212
1135663321a580
1214203511a510
1373536366a1a
14366510d9060
151b094c6d20c
hexe91768735c

1001120101212 has 96 divisors (see below), whose sum is σ = 2916458979840. Its totient is φ = 259664267520.

The previous prime is 1001120101211. The next prime is 1001120101249. The reversal of 1001120101212 is 2121010211001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001120101211) 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, 108963 + ... + 1419194.

It is an arithmetic number, because the mean of its divisors is an integer number (30379781040).

Almost surely, 21001120101212 is an apocalyptic number.

1001120101212 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 1001120101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458229489920).

1001120101212 is an abundant number, since it is smaller than the sum of its proper divisors (1915338878628).

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

1001120101212 is a wasteful number, since it uses less digits than its factorization.

1001120101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528891 (or 1528889 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001120101212 its reverse (2121010211001), we get a palindrome (3122130312213).

The spelling of 1001120101212 in words is "one trillion, one billion, one hundred twenty million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 709 924 1418 2127 2836 4254 4963 7799 8508 9926 14889 15598 19852 23397 29778 31196 46794 54593 59556 93588 109186 163779 218372 327558 655116 1528157 3056314 4584471 6112628 9168942 10697099 16809727 18337884 21394198 32091297 33619454 42788396 50429181 64182594 67238908 100858362 117668089 128365188 201716724 235336178 353004267 470672356 706008534 1083463313 1412017068 2166926626 3250389939 4333853252 6500779878 7584243191 11918096443 13001559756 15168486382 22752729573 23836192886 30336972764 35754289329 45505459146 47672385772 71508578658 83426675101 91010918292 143017157316 166853350202 250280025303 333706700404 500560050606 1001120101212