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12223231120000 = 2754152790389
BaseRepresentation
bin1011000111011111000101…
…0110010101001010000000
31121021112021222210221220201
42301313301112111022000
53100231134131320000
641555135211414544
72401046030145235
oct261676126251200
947245258727821
1012223231120000
11399293034332a
121454b3b454454
136a885192cbc4
1430387115178c
15162e4ab0996a
hexb1df1595280

12223231120000 has 80 divisors (see below), whose sum is σ = 30428970120450. Its totient is φ = 4889292416000.

The previous prime is 12223231119989. The next prime is 12223231120007. The reversal of 12223231120000 is 2113232221.

It can be written as a sum of positive squares in 5 ways, for example, as 2608121641024 + 9615109478976 = 1614968^2 + 3100824^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12223231120000.

It is not an unprimeable number, because it can be changed into a prime (12223231120007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76315195 + ... + 76475194.

Almost surely, 212223231120000 is an apocalyptic number.

12223231120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12223231120000 is an abundant number, since it is smaller than the sum of its proper divisors (18205739000450).

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

12223231120000 is an frugal number, since it uses more digits than its factorization.

12223231120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152790423 (or 152790396 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12223231120000 its reverse (2113232221), we get a palindrome (12225344352221).

The spelling of 12223231120000 in words is "twelve trillion, two hundred twenty-three billion, two hundred thirty-one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 152790389 305580778 611161556 763951945 1222323112 1527903890 2444646224 3055807780 3819759725 4889292448 6111615560 7639519450 9778584896 12223231120 15279038900 19098798625 19557169792 24446462240 30558077800 38197597250 48892924480 61116155600 76395194500 95493993125 97785848960 122232311200 152790389000 190987986250 244464622400 305580778000 381975972500 488929244800 611161556000 763951945000 1222323112000 1527903890000 2444646224000 3055807780000 6111615560000 12223231120000