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12042253040 = 245672246689
BaseRepresentation
bin10110011011100011…
…00011001011110000
31011002020121211121212
423031301203023300
5144130304044130
65310535135252
7604263314306
oct131561431360
934066554555
1012042253040
11511a5a0a44
122400b14528
13119bb39a1c
1482349a276
154a7319e95
hex2cdc632f0

12042253040 has 40 divisors (see below), whose sum is σ = 28416135120. Its totient is φ = 4745005056.

The previous prime is 12042253019. The next prime is 12042253061. The reversal of 12042253040 is 4035224021.

It is a happy number.

12042253040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12042253019) and next prime (12042253061).

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

It is a junction number, because it is equal to n+sod(n) for n = 12042252997 and 12042253015.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1117985 + ... + 1128704.

It is an arithmetic number, because the mean of its divisors is an integer number (710403378).

Almost surely, 212042253040 is an apocalyptic number.

12042253040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042253040 is an abundant number, since it is smaller than the sum of its proper divisors (16373882080).

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

12042253040 is a wasteful number, since it uses less digits than its factorization.

12042253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246769 (or 2246763 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 12042253040 its reverse (4035224021), we get a palindrome (16077477061).

The spelling of 12042253040 in words is "twelve billion, forty-two million, two hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 2246689 4493378 8986756 11233445 17973512 22466890 35947024 44933780 89867560 150528163 179735120 301056326 602112652 752640815 1204225304 1505281630 2408450608 3010563260 6021126520 12042253040