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12022221321300 = 22352271147874801
BaseRepresentation
bin1010111011110010010000…
…1110110011010001010100
31120120022110021102012000110
42232330210032303101110
53033433002124240200
641322533210043020
72350401565066551
oct256744416632124
946508407365013
1012022221321300
113915660576453
121421ba1719470
136928c9352808
142d7c42cd1a28
1515cad3bbab50
hexaef243b3454

12022221321300 has 72 divisors (see below), whose sum is σ = 34912649252992. Its totient is φ = 3194095680000.

The previous prime is 12022221321269. The next prime is 12022221321301. The reversal of 12022221321300 is 312312222021.

12022221321300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022221321301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73856101 + ... + 74018700.

Almost surely, 212022221321300 is an apocalyptic number.

12022221321300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022221321300 is an abundant number, since it is smaller than the sum of its proper divisors (22890427931692).

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

12022221321300 is a wasteful number, since it uses less digits than its factorization.

12022221321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147875089 (or 147875082 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12022221321300 its reverse (312312222021), we get a palindrome (12334533543321).

The spelling of 12022221321300 in words is "twelve trillion, twenty-two billion, two hundred twenty-one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 271 300 542 813 1084 1355 1626 2710 3252 4065 5420 6775 8130 13550 16260 20325 27100 40650 81300 147874801 295749602 443624403 591499204 739374005 887248806 1478748010 1774497612 2218122015 2957496020 3696870025 4436244030 7393740050 8872488060 11090610075 14787480100 22181220150 40074071071 44362440300 80148142142 120222213213 160296284284 200370355355 240444426426 400740710710 480888852852 601111066065 801481421420 1001851776775 1202222132130 2003703553550 2404444264260 3005555330325 4007407107100 6011110660650 12022221321300