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12100121104 = 241936416113
BaseRepresentation
bin10110100010011100…
…10011001000010000
31011020021111211200111
423101032103020100
5144240112333404
65320403331104
7605565222001
oct132116231020
934207454614
1012100121104
11514a226095
122418380a94
1311aab1b496
1482b0411a8
154ac44b104
hex2d1393210

12100121104 has 40 divisors (see below), whose sum is σ = 23606080632. Its totient is φ = 6008340480.

The previous prime is 12100121071. The next prime is 12100121167. The reversal of 12100121104 is 40112100121.

It can be written as a sum of positive squares in 4 ways, for example, as 2964584704 + 9135536400 = 54448^2 + 95580^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1976352 + ... + 1982464.

Almost surely, 212100121104 is an apocalyptic number.

It is an amenable number.

12100121104 is a deficient number, since it is larger than the sum of its proper divisors (11505959528).

12100121104 is a wasteful number, since it uses less digits than its factorization.

12100121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6955 (or 6949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12100121104 its reverse (40112100121), we get a palindrome (52212221225).

It can be divided in two parts, 12100 and 121104, that multiplied together give a square (1465358400 = 382802).

The spelling of 12100121104 in words is "twelve billion, one hundred million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 193 386 641 772 1282 1544 2564 3088 5128 6113 10256 12226 24452 48904 97808 123713 247426 494852 989704 1179809 1979408 2359618 3918433 4719236 7836866 9438472 15673732 18876944 31347464 62694928 756257569 1512515138 3025030276 6050060552 12100121104