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12114001024 = 2794640633
BaseRepresentation
bin10110100100000110…
…01111110010000000
31011021020122000100121
423102003033302000
5144302141013044
65322021030024
7606124211146
oct132203176200
934236560317
1012114001024
1151570462a4
122420b55314
1311b096b058
1482cc15596
154ad78d984
hex2d20cfc80

12114001024 has 16 divisors (see below), whose sum is σ = 24133361670. Its totient is φ = 6057000448.

The previous prime is 12114000989. The next prime is 12114001051. The reversal of 12114001024 is 42010041121.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11126030400 + 987970624 = 105480^2 + 31432^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-3 number, since 3×121140010243 (a number of 31 digits) contains 333 as substring.

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 = 12114000989 and 12114001007.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 47320189 + ... + 47320444.

Almost surely, 212114001024 is an apocalyptic number.

It is an amenable number.

12114001024 is a deficient number, since it is larger than the sum of its proper divisors (12019360646).

12114001024 is an frugal number, since it uses more digits than its factorization.

12114001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94640647 (or 94640635 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12114001024 its reverse (42010041121), we get a palindrome (54124042145).

The spelling of 12114001024 in words is "twelve billion, one hundred fourteen million, one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 94640633 189281266 378562532 757125064 1514250128 3028500256 6057000512 12114001024