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11220012121000 = 235317660000713
BaseRepresentation
bin1010001101000101110011…
…0101100011101110101000
31110201121210221021102221111
42203101130311203232220
52432312041100333000
635510222530520104
72235422234306404
oct243213465435650
943647727242844
1011220012121000
113636420378891
12131261b436034
136350727a2c37
142ab0a13b6104
15146cd1990cba
hexa345cd63ba8

11220012121000 has 64 divisors (see below), whose sum is σ = 27799230073680. Its totient is φ = 4224004556800.

The previous prime is 11220012120953. The next prime is 11220012121007. The reversal of 11220012121000 is 12121002211.

11220012121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 312832150596 + 10907179970404 = 559314^2 + 3302602^2 .

It is not an unprimeable number, because it can be changed into a prime (11220012121007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329983357 + ... + 330017356.

Almost surely, 211220012121000 is an apocalyptic number.

11220012121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220012121000 is an abundant number, since it is smaller than the sum of its proper divisors (16579217952680).

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

11220012121000 is a wasteful number, since it uses less digits than its factorization.

11220012121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660000751 (or 660000737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11220012121000 its reverse (12121002211), we get a palindrome (11232133123211).

The spelling of 11220012121000 in words is "eleven trillion, two hundred twenty billion, twelve million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 660000713 1320001426 2640002852 3300003565 5280005704 6600007130 11220012121 13200014260 16500017825 22440024242 26400028520 33000035650 44880048484 56100060605 66000071300 82500089125 89760096968 112200121210 132000142600 165000178250 224400242420 280500303025 330000356500 448800484840 561000606050 660000713000 1122001212100 1402501515125 2244002424200 2805003030250 5610006060500 11220012121000