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12121323120 = 2432516835171
BaseRepresentation
bin10110100100111110…
…01011011001110000
31011021202102000101100
423102133023121300
5144311024314440
65322442004400
7606243355314
oct132237133160
934252360340
1012121323120
115160197515
1224234a6700
1311b2332a5a
1482db9db44
154ae238230
hex2d27cb670

12121323120 has 60 divisors (see below), whose sum is σ = 40707445896. Its totient is φ = 3232352640.

The previous prime is 12121323101. The next prime is 12121323121. The reversal of 12121323120 is 2132312121.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12121323093 and 12121323102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121323121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8416866 + ... + 8418305.

Almost surely, 212121323120 is an apocalyptic number.

12121323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121323120 is an abundant number, since it is smaller than the sum of its proper divisors (28586122776).

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

12121323120 is a wasteful number, since it uses less digits than its factorization.

12121323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16835190 (or 16835181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12121323120 its reverse (2132312121), we get a palindrome (14253635241).

It can be divided in two parts, 12121 and 323120, that added together give a square (335241 = 5792).

The spelling of 12121323120 in words is "twelve billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 16835171 33670342 50505513 67340684 84175855 101011026 134681368 151516539 168351710 202022052 252527565 269362736 303033078 336703420 404044104 505055130 606066156 673406840 757582695 808088208 1010110260 1212132312 1346813680 1515165390 2020220520 2424264624 3030330780 4040441040 6060661560 12121323120