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12100223120 = 2453474011087
BaseRepresentation
bin10110100010011101…
…01100000010010000
31011020021201000121212
423101032230002100
5144240124114440
65320405435252
7605566125266
oct132116540220
934207630555
1012100223120
11514a2957a7
12241840bb28
1311aab55a4b
1482b06a436
154ac46b465
hex2d13ac090

12100223120 has 80 divisors (see below), whose sum is σ = 28310473728. Its totient is φ = 4809676800.

The previous prime is 12100223081. The next prime is 12100223129. The reversal of 12100223120 is 2132200121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12100223095 and 12100223104.

It is not an unprimeable number, because it can be changed into a prime (12100223129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11131217 + ... + 11132303.

Almost surely, 212100223120 is an apocalyptic number.

12100223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100223120 is an abundant number, since it is smaller than the sum of its proper divisors (16210250608).

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

12100223120 is a wasteful number, since it uses less digits than its factorization.

12100223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12100223120 its reverse (2132200121), we get a palindrome (14232423241).

The spelling of 12100223120 in words is "twelve billion, one hundred million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 347 401 694 802 1087 1388 1604 1735 2005 2174 2776 3208 3470 4010 4348 5435 5552 6416 6940 8020 8696 10870 13880 16040 17392 21740 27760 32080 43480 86960 139147 278294 377189 435887 556588 695735 754378 871774 1113176 1391470 1508756 1743548 1885945 2179435 2226352 2782940 3017512 3487096 3771890 4358870 5565880 6035024 6974192 7543780 8717740 11131760 15087560 17435480 30175120 34870960 151252789 302505578 605011156 756263945 1210022312 1512527890 2420044624 3025055780 6050111560 12100223120