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12212002000 = 245311555091
BaseRepresentation
bin10110101111110010…
…00101110011010000
31011112002000222102101
423113321011303100
5200002233031000
65335441330144
7611424206242
oct132771056320
934462028371
1012212002000
1151a73a1940
122449936954
1311c80619b3
1483bc46092
154b719ae6a
hex2d7e45cd0

12212002000 has 80 divisors (see below), whose sum is σ = 32213098944. Its totient is φ = 4440720000.

The previous prime is 12212001947. The next prime is 12212002009. The reversal of 12212002000 is 20021221.

It is a tau number, because it is divible by the number of its divisors (80).

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 (12212002009) 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, 255546 + ... + 299545.

Almost surely, 212212002000 is an apocalyptic number.

12212002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212002000 is an abundant number, since it is smaller than the sum of its proper divisors (20001096944).

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

12212002000 is a wasteful number, since it uses less digits than its factorization.

12212002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555125 (or 555109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12212002000 its reverse (20021221), we get a palindrome (12232023221).

The spelling of 12212002000 in words is "twelve billion, two hundred twelve million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 555091 1110182 2220364 2775455 4440728 5550910 6106001 8881456 11101820 12212002 13877275 22203640 24424004 27754550 30530005 44407280 48848008 55509100 61060010 69386375 97696016 111018200 122120020 138772750 152650025 222036400 244240040 277545500 305300050 488480080 555091000 610600100 763250125 1110182000 1221200200 1526500250 2442400400 3053000500 6106001000 12212002000