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12010132344 = 23373122710159
BaseRepresentation
bin10110010111101110…
…00001001101111000
31011000000011221022110
423023313001031320
5144044043213334
65303430452320
7603423304050
oct131367011570
934000157273
1012010132344
115103452211
1223b22040a0
1311952a16b2
1481d0d8560
154a45c2ae9
hex2cbdc1378

12010132344 has 128 divisors (see below), whose sum is σ = 35581132800. Its totient is φ = 3305819520.

The previous prime is 12010132339. The next prime is 12010132349. The reversal of 12010132344 is 44323101021.

It is an interprime number because it is at equal distance from previous prime (12010132339) and next prime (12010132349).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12010132344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010132349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177137 + ... + 1187295.

It is an arithmetic number, because the mean of its divisors is an integer number (277977600).

Almost surely, 212010132344 is an apocalyptic number.

12010132344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010132344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790566400).

12010132344 is an abundant number, since it is smaller than the sum of its proper divisors (23571000456).

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

12010132344 is a wasteful number, since it uses less digits than its factorization.

12010132344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10433 (or 10429 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12010132344 its reverse (44323101021), we get a palindrome (56333233365).

The spelling of 12010132344 in words is "twelve billion, ten million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 227 248 372 434 454 651 681 744 868 908 1302 1362 1589 1736 1816 2604 2724 3178 4767 5208 5448 6356 7037 9534 10159 12712 14074 19068 20318 21111 28148 30477 38136 40636 42222 49259 56296 60954 71113 81272 84444 98518 121908 142226 147777 168888 197036 213339 243816 284452 295554 314929 394072 426678 568904 591108 629858 853356 944787 1182216 1259716 1706712 1889574 2204503 2306093 2519432 3779148 4409006 4612186 6613509 6918279 7558296 8818012 9224372 13227018 13836558 16142651 17636024 18448744 26454036 27673116 32285302 48427953 52908072 55346232 64570604 71488883 96855906 129141208 142977766 193711812 214466649 285955532 387423624 428933298 500422181 571911064 857866596 1000844362 1501266543 1715733192 2001688724 3002533086 4003377448 6005066172 12010132344