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12202121221000 = 235367091818769
BaseRepresentation
bin1011000110010000011100…
…0110011101001110001000
31121012111210210210222110121
42301210013012131032020
53044404421013033000
641541324353153024
72366400640026214
oct261440706351610
947174723728417
1012202121221000
113984988358807
121450a2985b774
136a68693199c9
1430282b6b1944
151626126eeb1a
hexb190719d388

12202121221000 has 64 divisors (see below), whose sum is σ = 28557235278000. Its totient is φ = 4880118297600.

The previous prime is 12202121220997. The next prime is 12202121221001. The reversal of 12202121221000 is 12212120221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 49409287524 + 12152711933476 = 222282^2 + 3486074^2 .

It is not an unprimeable number, because it can be changed into a prime (12202121221001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5799616 + ... + 7618384.

Almost surely, 212202121221000 is an apocalyptic number.

12202121221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202121221000 is an abundant number, since it is smaller than the sum of its proper divisors (16355114057000).

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

12202121221000 is a wasteful number, since it uses less digits than its factorization.

12202121221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825499 (or 1825485 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12202121221000 its reverse (12212120221), we get a palindrome (12214333341221).

The spelling of 12202121221000 in words is "twelve trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 6709 13418 26836 33545 53672 67090 134180 167725 268360 335450 670900 838625 1341800 1677250 1818769 3354500 3637538 6709000 7275076 9093845 14550152 18187690 36375380 45469225 72750760 90938450 181876900 227346125 363753800 454692250 909384500 1818769000 12202121221 24404242442 48808484884 61010606105 97616969768 122021212210 244042424420 305053030525 488084848840 610106061050 1220212122100 1525265152625 2440424244200 3050530305250 6101060610500 12202121221000