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12311332021040 = 2451311837819251
BaseRepresentation
bin1011001100100111010010…
…0100100110001100110000
31121120221200220012110000112
42303021310210212030300
53103202101444133130
642103425311440452
72410315166354153
oct263116444461460
947527626173015
1012311332021040
113a1722aa74248
12146a028226128
136b3c52175790
14307c2bb3bc9a
151653a53a5495
hexb3274926330

12311332021040 has 40 divisors (see below), whose sum is σ = 30825681332208. Its totient is φ = 4545722592000.

The previous prime is 12311332021013. The next prime is 12311332021139. The reversal of 12311332021040 is 4012023311321.

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

It is a super-2 number, since 2×123113320210402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12311332020997 and 12311332021015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5918908586 + ... + 5918910665.

Almost surely, 212311332021040 is an apocalyptic number.

12311332021040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311332021040 is an abundant number, since it is smaller than the sum of its proper divisors (18514349311168).

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

12311332021040 is a wasteful number, since it uses less digits than its factorization.

12311332021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11837819277 (or 11837819271 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12311332021040 its reverse (4012023311321), we get a palindrome (16323355332361).

The spelling of 12311332021040 in words is "twelve trillion, three hundred eleven billion, three hundred thirty-two million, twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 11837819251 23675638502 47351277004 59189096255 94702554008 118378192510 153891650263 189405108016 236756385020 307783300526 473512770040 615566601052 769458251315 947025540080 1231133202104 1538916502630 2462266404208 3077833005260 6155666010520 12311332021040