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12020120220100 = 22521717340870861
BaseRepresentation
bin1010111011101010011011…
…1111101111000111000100
31120120010000211211012000111
42232322212333233013010
53033414201234020400
641321544512122404
72350265533035226
oct256724677570704
946503024735014
1012020120220100
113914782555a83
1214216b5b36404
13692652c6a675
142d7ac3c3a416
1515ca0e4d73ba
hexaeea6fef1c4

12020120220100 has 72 divisors (see below), whose sum is σ = 27777636133128. Its totient is φ = 4499064268800.

The previous prime is 12020120220067. The next prime is 12020120220131. The reversal of 12020120220100 is 102202102021.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1245130149316 + 10774990070784 = 1115854^2 + 3282528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20141331 + ... + 20729530.

It is an arithmetic number, because the mean of its divisors is an integer number (385800501849).

Almost surely, 212020120220100 is an apocalyptic number.

12020120220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020120220100 is an abundant number, since it is smaller than the sum of its proper divisors (15757515913028).

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

12020120220100 is a wasteful number, since it uses less digits than its factorization.

12020120220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40871065 (or 40871058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12020120220100 its reverse (102202102021), we get a palindrome (12122322322121).

The spelling of 12020120220100 in words is "twelve trillion, twenty billion, one hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 173 340 346 425 692 850 865 1700 1730 2941 3460 4325 5882 8650 11764 14705 17300 29410 58820 73525 147050 294100 40870861 81741722 163483444 204354305 408708610 694804637 817417220 1021771525 1389609274 2043543050 2779218548 3474023185 4087086100 6948046370 7070658953 13896092740 14141317906 17370115925 28282635812 34740231850 35353294765 69480463700 70706589530 120201202201 141413179060 176766473825 240402404402 353532947650 480804808804 601006011005 707065895300 1202012022010 2404024044020 3005030055025 6010060110050 12020120220100