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1000120001200 = 245219711853447
BaseRepresentation
bin11101000110110111100…
…11000010001010110000
310112121111002020010011221
432203123303002022300
5112341221210014300
62043240534314424
7132153622513525
oct16433363021260
93477432203157
101000120001200
1135616a738641
121419b61b8a14
13734070c3178
143659836314c
151b03706c31a
hexe8dbcc22b0

1000120001200 has 120 divisors (see below), whose sum is σ = 2564875480320. Its totient is φ = 373654713600.

The previous prime is 1000120001191. The next prime is 1000120001203. The reversal of 1000120001200 is 21000210001.

It is not an unprimeable number, because it can be changed into a prime (1000120001203) 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 23 ways as a sum of consecutive naturals, for example, 387124 + ... + 1466323.

It is an arithmetic number, because the mean of its divisors is an integer number (21373962336).

Almost surely, 21000120001200 is an apocalyptic number.

1000120001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000120001200 is an abundant number, since it is smaller than the sum of its proper divisors (1564755479120).

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

1000120001200 is a wasteful number, since it uses less digits than its factorization.

1000120001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853555 (or 1853544 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1000120001200 its reverse (21000210001), we get a palindrome (1021120211201).

The spelling of 1000120001200 in words is "one trillion, one hundred twenty million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 71 76 80 95 100 142 152 190 200 284 304 355 380 400 475 568 710 760 950 1136 1349 1420 1520 1775 1900 2698 2840 3550 3800 5396 5680 6745 7100 7600 10792 13490 14200 21584 26980 28400 33725 53960 67450 107920 134900 269800 539600 1853447 3706894 7413788 9267235 14827576 18534470 29655152 35215493 37068940 46336175 70430986 74137880 92672350 131594737 140861972 148275760 176077465 185344700 263189474 281723944 352154930 370689400 526378948 563447888 657973685 704309860 741378800 880387325 1052757896 1315947370 1408619720 1760774650 2105515792 2500300003 2631894740 2817239440 3289868425 3521549300 5000600006 5263789480 6579736850 7043098600 10001200012 10527578960 12501500015 13159473700 14086197200 20002400024 25003000030 26318947400 40004800048 50006000060 52637894800 62507500075 100012000120 125015000150 200024000240 250030000300 500060000600 1000120001200