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1201022010000 = 24325413344689
BaseRepresentation
bin10001011110100010011…
…111011000001010010000
311020211001021210121010200
4101132202133120022100
5124134143113310000
62315424125455200
7152525305434021
oct21364237301220
94224037717120
101201022010000
1142339468335a
12174923a11500
1389343260157
14421b6164c48
15213947b8500
hex117a27d8290

1201022010000 has 150 divisors (see below), whose sum is σ = 4200147764670. Its totient is φ = 320272512000.

The previous prime is 1201022009963. The next prime is 1201022010011. The reversal of 1201022010000 is 102201021.

It can be written as a sum of positive squares in 5 ways, for example, as 243293589504 + 957728420496 = 493248^2 + 978636^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6582345 + ... + 6762344.

Almost surely, 21201022010000 is an apocalyptic number.

1201022010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201022010000 is an abundant number, since it is smaller than the sum of its proper divisors (2999125754670).

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

1201022010000 is a wasteful number, since it uses less digits than its factorization.

1201022010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13344723 (or 13344699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1201022010000 its reverse (102201021), we get a palindrome (1201124211021).

The spelling of 1201022010000 in words is "one trillion, two hundred one billion, twenty-two million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 13344689 26689378 40034067 53378756 66723445 80068134 106757512 120102201 133446890 160136268 200170335 213515024 240204402 266893780 320272536 333617225 400340670 480408804 533787560 600511005 640545072 667234450 800681340 960817608 1000851675 1067575120 1201022010 1334468900 1601362680 1668086125 1921635216 2001703350 2402044020 2668937800 3002555025 3202725360 3336172250 4003406700 4804088040 5004258375 5337875600 6005110050 6672344500 8006813400 8340430625 9608176080 10008516750 12010220100 13344689000 15012775125 16013626800 16680861250 20017033500 24020440200 25021291875 26689378000 30025550250 33361722500 40034067000 48040880400 50042583750 60051100500 66723445000 75063875625 80068134000 100085167500 120102201000 133446890000 150127751250 200170335000 240204402000 300255502500 400340670000 600511005000 1201022010000