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12023114240 = 2954696529
BaseRepresentation
bin10110011001010001…
…00010101000000000
31011000220121111010102
423030220202220000
5144110404123430
65305013021532
7603641533124
oct131450425000
934026544112
1012023114240
11510a809755
1223b66248a8
131197b985a7
14820b17584
154a57d9345
hex2cca22a00

12023114240 has 40 divisors (see below), whose sum is σ = 28827301140. Its totient is φ = 4809244672.

The previous prime is 12023114203. The next prime is 12023114269. The reversal of 12023114240 is 4241132021.

It can be written as a sum of positive squares in 2 ways, for example, as 12022683904 + 430336 = 109648^2 + 656^2 .

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 (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2345705 + ... + 2350824.

Almost surely, 212023114240 is an apocalyptic number.

12023114240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023114240 is an abundant number, since it is smaller than the sum of its proper divisors (16804186900).

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

12023114240 is an frugal number, since it uses more digits than its factorization.

12023114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696552 (or 4696536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12023114240 its reverse (4241132021), we get a palindrome (16264246261).

The spelling of 12023114240 in words is "twelve billion, twenty-three million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 4696529 9393058 18786116 23482645 37572232 46965290 75144464 93930580 150288928 187861160 300577856 375722320 601155712 751444640 1202311424 1502889280 2404622848 3005778560 6011557120 12023114240