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1002212201200 = 245273471031507
BaseRepresentation
bin11101001010110001000…
…00001001001011110000
310112210212220001220000211
432211120200021023300
5112410012310414300
62044224313353504
7132256516103140
oct16453040111360
93483786056024
101002212201200
11357043729451
1214229aa08894
137367b6ac932
143671617c920
151b10aa934ba
hexe9588092f0

1002212201200 has 120 divisors (see below), whose sum is σ = 2759721259392. Its totient is φ = 342625032960.

The previous prime is 1002212201197. The next prime is 1002212201201. The reversal of 1002212201200 is 21022122001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002212201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455847 + ... + 1487353.

Almost surely, 21002212201200 is an apocalyptic number.

1002212201200 is a gapful number since it is divisible by the number (10) 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 1002212201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379860629696).

1002212201200 is an abundant number, since it is smaller than the sum of its proper divisors (1757509058192).

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

1002212201200 is a wasteful number, since it uses less digits than its factorization.

1002212201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031879 (or 1031868 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002212201200 its reverse (21022122001), we get a palindrome (1023234323201).

The spelling of 1002212201200 in words is "one trillion, two billion, two hundred twelve million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 347 350 400 560 694 700 1388 1400 1735 2429 2776 2800 3470 4858 5552 6940 8675 9716 12145 13880 17350 19432 24290 27760 34700 38864 48580 60725 69400 97160 121450 138800 194320 242900 485800 971600 1031507 2063014 4126028 5157535 7220549 8252056 10315070 14441098 16504112 20630140 25787675 28882196 36102745 41260280 51575350 57764392 72205490 82520560 103150700 115528784 144410980 180513725 206301400 288821960 357932929 361027450 412602800 577643920 715865858 722054900 1431731716 1444109800 1789664645 2505530503 2863463432 2888219600 3579329290 5011061006 5726926864 7158658580 8948323225 10022122012 12527652515 14317317160 17896646450 20044244024 25055305030 28634634320 35793292900 40088488048 50110610060 62638262575 71586585800 100221220120 125276525150 143173171600 200442440240 250553050300 501106100600 1002212201200