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12003102120 = 2335364327457
BaseRepresentation
bin10110010110111000…
…01100110110101000
31010222111221202122210
423023130030312220
5144040243231440
65303020045120
7603306453552
oct131334146650
933874852583
1012003102120
1150aa490309
1223ab9937a0
1311939ac7b9
1481c1c84d2
154a3b84a80
hex2cb70cda8

12003102120 has 64 divisors (see below), whose sum is σ = 36020502720. Its totient is φ = 3199832064.

The previous prime is 12003102103. The next prime is 12003102157. The reversal of 12003102120 is 2120130021.

12003102120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12003102096 and 12003102105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423432 + ... + 450888.

It is an arithmetic number, because the mean of its divisors is an integer number (562820355).

Almost surely, 212003102120 is an apocalyptic number.

12003102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003102120 is an abundant number, since it is smaller than the sum of its proper divisors (24017400600).

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

12003102120 is a wasteful number, since it uses less digits than its factorization.

12003102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31114 (or 31110 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12003102120 its reverse (2120130021), we get a palindrome (14123232141).

The spelling of 12003102120 in words is "twelve billion, three million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3643 7286 10929 14572 18215 21858 27457 29144 36430 43716 54645 54914 72860 82371 87432 109290 109828 137285 145720 164742 218580 219656 274570 329484 411855 437160 549140 658968 823710 1098280 1647420 3294840 100025851 200051702 300077553 400103404 500129255 600155106 800206808 1000258510 1200310212 1500387765 2000517020 2400620424 3000775530 4001034040 6001551060 12003102120