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1230201322400 = 25523674190059
BaseRepresentation
bin10001111001101101101…
…101100111101110100000
311100121100211211020202202
4101321231231213232200
5130123423014304100
62341051403432332
7154610351464451
oct21715555475640
94317324736682
101230201322400
114347a8636676
1217a507b256a8
138c0135aac8b
14437835bb128
15220013307d5
hex11e6db67ba0

1230201322400 has 72 divisors (see below), whose sum is σ = 3011412882240. Its totient is φ = 490739592960.

The previous prime is 1230201322379. The next prime is 1230201322403. The reversal of 1230201322400 is 42231020321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1230201322403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1801430 + ... + 2388629.

It is an arithmetic number, because the mean of its divisors is an integer number (41825178920).

Almost surely, 21230201322400 is an apocalyptic number.

1230201322400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230201322400 is an abundant number, since it is smaller than the sum of its proper divisors (1781211559840).

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

1230201322400 is a wasteful number, since it uses less digits than its factorization.

1230201322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190446 (or 4190433 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1230201322400 its reverse (42231020321), we get a palindrome (1272432342721).

The spelling of 1230201322400 in words is "one trillion, two hundred thirty billion, two hundred one million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 367 400 734 800 1468 1835 2936 3670 5872 7340 9175 11744 14680 18350 29360 36700 58720 73400 146800 293600 4190059 8380118 16760236 20950295 33520472 41900590 67040944 83801180 104751475 134081888 167602360 209502950 335204720 419005900 670409440 838011800 1537751653 1676023600 3075503306 3352047200 6151006612 7688758265 12302013224 15377516530 24604026448 30755033060 38443791325 49208052896 61510066120 76887582650 123020132240 153775165300 246040264480 307550330600 615100661200 1230201322400