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12210201010000 = 24547174431443
BaseRepresentation
bin1011000110101110100010…
…1100011001111101010000
31121020021122220100210022001
42301223220230121331100
53100022442424310000
641545142223123344
72400105110063320
oct261535054317520
947207586323261
1012210201010000
113988354172884
121452503743554
136a7556248146
14302d967c9280
15162936c0b46a
hexb1ae8b19f50

12210201010000 has 100 divisors (see below), whose sum is σ = 33785277525472. Its totient is φ = 4186354608000.

The previous prime is 12210201009991. The next prime is 12210201010001. The reversal of 12210201010000 is 1010201221.

12210201010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210201010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87145722 + ... + 87285721.

Almost surely, 212210201010000 is an apocalyptic number.

12210201010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210201010000 is an abundant number, since it is smaller than the sum of its proper divisors (21575076515472).

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

12210201010000 is an equidigital number, since it uses as much as digits as its factorization.

12210201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174431478 (or 174431457 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12210201010000 its reverse (1010201221), we get a palindrome (12211211211221).

The spelling of 12210201010000 in words is "twelve trillion, two hundred ten billion, two hundred one million, ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 35000 70000 174431443 348862886 697725772 872157215 1221020101 1395451544 1744314430 2442040202 2790903088 3488628860 4360786075 4884080404 6105100505 6977257720 8721572150 9768160808 12210201010 13954515440 17443144300 19536321616 21803930375 24420402020 30525502525 34886288600 43607860750 48840804040 61051005050 69772577200 87215721500 97681608080 109019651875 122102010100 152627512625 174431443000 218039303750 244204020200 305255025250 348862886000 436078607500 488408040400 610510050500 763137563125 872157215000 1221020101000 1526275126250 1744314430000 2442040202000 3052550252500 6105100505000 12210201010000