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12121123120 = 2451011500139
BaseRepresentation
bin10110100100111100…
…11010100100110000
31011021202000212000221
423102132122210300
5144311001414440
65322433422424
7606241563241
oct132236324460
934252025027
1012121123120
115160070227
12242340aa14
1311b2292a02
1482db4acc8
154ae1e8d4a
hex2d279a930

12121123120 has 40 divisors (see below), whose sum is σ = 28460656080. Its totient is φ = 4800441600.

The previous prime is 12121123081. The next prime is 12121123193. The reversal of 12121123120 is 2132112121.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12121123094 and 12121123103.

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, 741990 + ... + 758149.

It is an arithmetic number, because the mean of its divisors is an integer number (711516402).

Almost surely, 212121123120 is an apocalyptic number.

12121123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121123120 is an abundant number, since it is smaller than the sum of its proper divisors (16339532960).

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

12121123120 is a wasteful number, since it uses less digits than its factorization.

12121123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500253 (or 1500247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12121123120 its reverse (2132112121), we get a palindrome (14253235241).

The spelling of 12121123120 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 1500139 3000278 6000556 7500695 12001112 15001390 24002224 30002780 60005560 120011120 151514039 303028078 606056156 757570195 1212112312 1515140390 2424224624 3030280780 6060561560 12121123120