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12210320313120 = 253525438167319
BaseRepresentation
bin1011000110101110111111…
…0011100000101100100000
31121020021222012212000102010
42301223233303200230200
53100023214000004440
641545202124152520
72400111056122656
oct261535763405440
947207865760363
1012210320313120
113988405548aa6
121452537698740
136a7574b89ac7
14302da85a2dd6
15162942425580
hexb1aefce0b20

12210320313120 has 48 divisors (see below), whose sum is σ = 38462508987840. Its totient is φ = 3256085416704.

The previous prime is 12210320313101. The next prime is 12210320313137. The reversal of 12210320313120 is 2131302301221.

12210320313120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12719083180 + ... + 12719084139.

It is an arithmetic number, because the mean of its divisors is an integer number (801302270580).

Almost surely, 212210320313120 is an apocalyptic number.

12210320313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210320313120 is an abundant number, since it is smaller than the sum of its proper divisors (26252188674720).

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

12210320313120 is a wasteful number, since it uses less digits than its factorization.

12210320313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25438167337 (or 25438167329 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12210320313120 its reverse (2131302301221), we get a palindrome (14341622614341).

The spelling of 12210320313120 in words is "twelve trillion, two hundred ten billion, three hundred twenty million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25438167319 50876334638 76314501957 101752669276 127190836595 152629003914 203505338552 254381673190 305258007828 381572509785 407010677104 508763346380 610516015656 763145019570 814021354208 1017526692760 1221032031312 1526290039140 2035053385520 2442064062624 3052580078280 4070106771040 6105160156560 12210320313120