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12011221012120 = 2351154269503017
BaseRepresentation
bin1010111011001001010010…
…0011111100111010011000
31120112021001122101120122221
42232302110203330322120
53033242440034341440
641313513451153424
72346532153025401
oct256622443747230
946467048346587
1012011221012120
113910a26147340
12141ba31745874
1369186534a525
142d74bbd809a8
1515c68d0b9d4a
hexaec948fce98

12011221012120 has 64 divisors (see below), whose sum is σ = 29482689808800. Its totient is φ = 4367627566080.

The previous prime is 12011221012111. The next prime is 12011221012127. The reversal of 12011221012120 is 2121012211021.

It is a junction number, because it is equal to n+sod(n) for n = 12011221012094 and 12011221012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011221012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23626852 + ... + 24129868.

Almost surely, 212011221012120 is an apocalyptic number.

12011221012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011221012120 is an abundant number, since it is smaller than the sum of its proper divisors (17471468796680).

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

12011221012120 is a wasteful number, since it uses less digits than its factorization.

12011221012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557308 (or 557304 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12011221012120 its reverse (2121012211021), we get a palindrome (14132233223141).

The spelling of 12011221012120 in words is "twelve trillion, eleven billion, two hundred twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 54269 108538 217076 271345 434152 503017 542690 596959 1006034 1085380 1193918 2012068 2170760 2387836 2515085 2984795 4024136 4775672 5030170 5533187 5969590 10060340 11066374 11939180 20120680 22132748 23878360 27665935 44265496 55331870 110663740 221327480 27298229573 54596459146 109192918292 136491147865 218385836584 272982295730 300280525303 545964591460 600561050606 1091929182920 1201122101212 1501402626515 2402244202424 3002805253030 6005610506060 12011221012120