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1201220012000 = 2553799337571
BaseRepresentation
bin10001011110101110010…
…010101100011111100000
311020211120002101010211002
4101132232102230133200
5124140044310341000
62315455521411132
7152533231430231
oct21365622543740
94224502333732
101201220012000
11423486421178
1217497a199aa8
1389375297bb8
14421d4587088
15213a6d7a8d5
hex117ae4ac7e0

1201220012000 has 96 divisors (see below), whose sum is σ = 2951845382304. Its totient is φ = 480415104000.

The previous prime is 1201220011991. The next prime is 1201220012021. The reversal of 1201220012000 is 2100221021.

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 15 ways as a sum of consecutive naturals, for example, 31953215 + ... + 31990785.

It is an arithmetic number, because the mean of its divisors is an integer number (30748389399).

Almost surely, 21201220012000 is an apocalyptic number.

1201220012000 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 1201220012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475922691152).

1201220012000 is an abundant number, since it is smaller than the sum of its proper divisors (1750625370304).

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

1201220012000 is an equidigital number, since it uses as much as digits as its factorization.

1201220012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45589 (or 45571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1201220012000 its reverse (2100221021), we get a palindrome (1203320233021).

The spelling of 1201220012000 in words is "one trillion, two hundred one billion, two hundred twenty million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 7993 15986 31972 37571 39965 63944 75142 79930 127888 150284 159860 187855 199825 255776 300568 319720 375710 399650 601136 639440 751420 799300 939275 999125 1202272 1278880 1502840 1598600 1878550 1998250 3005680 3197200 3757100 3996500 4696375 6011360 6394400 7514200 7993000 9392750 15028400 15986000 18785500 30056800 31972000 37571000 75142000 150284000 300305003 600610006 1201220012 1501525015 2402440024 3003050030 4804880048 6006100060 7507625075 9609760096 12012200120 15015250150 24024400240 30030500300 37538125375 48048800480 60061000600 75076250750 120122001200 150152501500 240244002400 300305003000 600610006000 1201220012000