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2012334453200 = 245248724594201
BaseRepresentation
bin11101010010001000011…
…110101111000111010000
321010101012001021222212002
4131102020132233013100
5230432230110000300
64140241555053132
7265246344425021
oct35221036570720
97111161258762
102012334453200
11706476379065
122860068a11a8
131179baa9a8a6
146d57ca8cc48
153752acb55d5
hex1d4887af1d0

2012334453200 has 120 divisors (see below), whose sum is σ = 4847684698560. Its totient is φ = 802763136000.

The previous prime is 2012334453169. The next prime is 2012334453271. The reversal of 2012334453200 is 23544332102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479011100 + ... + 479015300.

It is an arithmetic number, because the mean of its divisors is an integer number (40397372488).

Almost surely, 22012334453200 is an apocalyptic number.

2012334453200 is a gapful number since it is divisible by the number (20) 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 2012334453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423842349280).

2012334453200 is an abundant number, since it is smaller than the sum of its proper divisors (2835350245360).

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

2012334453200 is a wasteful number, since it uses less digits than its factorization.

2012334453200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 2012334453200 its reverse (23544332102), we get a palindrome (2035878785302).

The spelling of 2012334453200 in words is "two trillion, twelve billion, three hundred thirty-four million, four hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 487 974 1948 2435 2459 3896 4201 4870 4918 7792 8402 9740 9836 12175 12295 16804 19480 19672 21005 24350 24590 33608 38960 39344 42010 48700 49180 61475 67216 84020 97400 98360 105025 122950 168040 194800 196720 210050 245900 336080 420100 491800 840200 983600 1197533 1680400 2045887 2395066 4091774 4790132 5987665 8183548 9580264 10229435 10330259 11975330 16367096 19160528 20458870 20660518 23950660 29938325 32734192 40917740 41321036 47901320 51147175 51651295 59876650 81835480 82642072 95802640 102294350 103302590 119753300 163670960 165284144 204588700 206605180 239506600 258256475 409177400 413210360 479013200 516512950 818354800 826420720 1033025900 2066051800 4132103600 5030836133 10061672266 20123344532 25154180665 40246689064 50308361330 80493378128 100616722660 125770903325 201233445320 251541806650 402466890640 503083613300 1006167226600 2012334453200