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1001211200120 = 235472412209789
BaseRepresentation
bin11101001000111001101…
…01101000001001111000
310112201022010111202200202
432210130311220021320
5112400440031400440
62043541114421332
7132222642532505
oct16443465501170
93481263452622
101001211200120
1135667a69152a
1214205b731848
137354c1b1bc1
143665d2504ac
151b09cc65615
hexe91cd68278

1001211200120 has 64 divisors (see below), whose sum is σ = 2310202857600. Its totient is φ = 390336952320.

The previous prime is 1001211200117. The next prime is 1001211200123. The reversal of 1001211200120 is 210021121001.

It is an interprime number because it is at equal distance from previous prime (1001211200117) and next prime (1001211200123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001211200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651815 + ... + 1557974.

It is an arithmetic number, because the mean of its divisors is an integer number (36096919650).

Almost surely, 21001211200120 is an apocalyptic number.

1001211200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001211200120 is an abundant number, since it is smaller than the sum of its proper divisors (1308991657480).

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

1001211200120 is a wasteful number, since it uses less digits than its factorization.

1001211200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210088 (or 2210084 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001211200120 its reverse (210021121001), we get a palindrome (1211232321121).

The spelling of 1001211200120 in words is "one trillion, one billion, two hundred eleven million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 241 376 470 482 940 964 1205 1880 1928 2410 4820 9640 11327 22654 45308 56635 90616 113270 226540 453080 2209789 4419578 8839156 11048945 17678312 22097890 44195780 88391560 103860083 207720166 415440332 519300415 532559149 830880664 1038600830 1065118298 2077201660 2130236596 2662795745 4154403320 4260473192 5325591490 10651182980 21302365960 25030280003 50060560006 100121120012 125151400015 200242240024 250302800030 500605600060 1001211200120