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12001111332 = 22371031937187
BaseRepresentation
bin10110010110101001…
…00110110100100100
31010222101012121210220
423023110212310210
5144034241030312
65302505244340
7603253522530
oct131324466444
933871177726
1012001111332
1150a9350631
1223ab1936b0
131193463612
1481bc2abc0
154a38dec8c
hex2cb526d24

12001111332 has 96 divisors (see below), whose sum is σ = 32485619712. Its totient is φ = 3377534976.

The previous prime is 12001111321. The next prime is 12001111337. The reversal of 12001111332 is 23311110021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12001111337) 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, 1666243 + ... + 1673429.

It is an arithmetic number, because the mean of its divisors is an integer number (338391872).

Almost surely, 212001111332 is an apocalyptic number.

12001111332 is a gapful number since it is divisible by the number (12) 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 12001111332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16242809856).

12001111332 is an abundant number, since it is smaller than the sum of its proper divisors (20484508380).

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

12001111332 is a wasteful number, since it uses less digits than its factorization.

12001111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7497 (or 7495 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12001111332 its reverse (23311110021), we get a palindrome (35312221353).

The spelling of 12001111332 in words is "twelve billion, one million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 193 206 309 386 412 579 618 721 772 1158 1236 1351 1442 2163 2316 2702 2884 4053 4326 5404 7187 8106 8652 14374 16212 19879 21561 28748 39758 43122 50309 59637 79516 86244 100618 119274 139153 150927 201236 238548 278306 301854 417459 556612 603708 740261 834918 1387091 1480522 1669836 2220783 2774182 2961044 4161273 4441566 5181827 5548364 8322546 8883132 9709637 10363654 15545481 16645092 19419274 20727308 29128911 31090962 38838548 58257822 62181924 116515644 142870373 285740746 428611119 571481492 857222238 1000092611 1714444476 2000185222 3000277833 4000370444 6000555666 12001111332