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12122231121120 = 253525254648169
BaseRepresentation
bin1011000001100110110101…
…0001111010010011100000
31120220212121010111102002110
42300121231101322103200
53042102312131333440
641440513123115320
72360542121262141
oct260315521722340
946825533442073
1012122231121120
11395401149527a
121439452812b40
1369c176bb3963
142dca0d383ac8
151604d8bde080
hexb066d47a4e0

12122231121120 has 48 divisors (see below), whose sum is σ = 38185028033040. Its totient is φ = 3232594965504.

The previous prime is 12122231121109. The next prime is 12122231121137. The reversal of 12122231121120 is 2112113222121.

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

It is a super-2 number, since 2×121222311211202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 12627323605 + ... + 12627324564.

It is an arithmetic number, because the mean of its divisors is an integer number (795521417355).

Almost surely, 212122231121120 is an apocalyptic number.

12122231121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122231121120 is an abundant number, since it is smaller than the sum of its proper divisors (26062796911920).

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

12122231121120 is a wasteful number, since it uses less digits than its factorization.

12122231121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25254648187 (or 25254648179 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 12122231121120 its reverse (2112113222121), we get a palindrome (14234344343241).

The spelling of 12122231121120 in words is "twelve trillion, one hundred twenty-two billion, two hundred thirty-one million, one hundred twenty-one 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 25254648169 50509296338 75763944507 101018592676 126273240845 151527889014 202037185352 252546481690 303055778028 378819722535 404074370704 505092963380 606111556056 757639445070 808148741408 1010185926760 1212223112112 1515278890140 2020371853520 2424446224224 3030557780280 4040743707040 6061115560560 12122231121120