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12203221002120 = 2332533897836117
BaseRepresentation
bin1011000110010100100010…
…1001110010011110001000
31121012121122110020122112200
42301211020221302132020
53044414144034031440
641542025441240200
72366440123021161
oct261451051623610
947177573218480
1012203221002120
1139853a2133625
121451096033060
136a69b3121b75
143028d3794768
15162679040c30
hexb1948a72788

12203221002120 has 48 divisors (see below), whose sum is σ = 39660468258060. Its totient is φ = 3254192267136.

The previous prime is 12203221002109. The next prime is 12203221002131. The reversal of 12203221002120 is 2120012230221.

12203221002120 is a `hidden beast` number, since 1 + 220 + 322 + 1 + 0 + 0 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (12203221002109) and next prime (12203221002131).

It can be written as a sum of positive squares in 2 ways, for example, as 12200643815364 + 2577186756 = 3492942^2 + 50766^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12203221002093 and 12203221002102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16948917699 + ... + 16948918418.

Almost surely, 212203221002120 is an apocalyptic number.

12203221002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12203221002120 is an abundant number, since it is smaller than the sum of its proper divisors (27457247255940).

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

12203221002120 is a wasteful number, since it uses less digits than its factorization.

12203221002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33897836134 (or 33897836127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12203221002120 its reverse (2120012230221), we get a palindrome (14323233232341).

The spelling of 12203221002120 in words is "twelve trillion, two hundred three billion, two hundred twenty-one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33897836117 67795672234 101693508351 135591344468 169489180585 203387016702 271182688936 305080525053 338978361170 406774033404 508467541755 610161050106 677956722340 813548066808 1016935083510 1220322100212 1355913444680 1525402625265 2033870167020 2440644200424 3050805250530 4067740334040 6101610501060 12203221002120