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12322120032 = 253346730539
BaseRepresentation
bin10110111100111010…
…01010000101100000
31011210202020112222000
423132131022011200
5200213430320112
65354413444000
7614232202125
oct133635120540
934722215860
1012322120032
115253574182
12247a7a0600
131214b089b1
1484c70c74c
154c1b9d7dc
hex2de74a160

12322120032 has 96 divisors (see below), whose sum is σ = 36017654400. Its totient is φ = 4098443904.

The previous prime is 12322120021. The next prime is 12322120051. The reversal of 12322120032 is 23002122321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12322119987 and 12322120014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388219 + ... + 418757.

It is an arithmetic number, because the mean of its divisors is an integer number (375183900).

Almost surely, 212322120032 is an apocalyptic number.

12322120032 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 12322120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008827200).

12322120032 is an abundant number, since it is smaller than the sum of its proper divisors (23695534368).

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

12322120032 is a wasteful number, since it uses less digits than its factorization.

12322120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31025 (or 31011 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12322120032 its reverse (23002122321), we get a palindrome (35324242353).

The spelling of 12322120032 in words is "twelve billion, three hundred twenty-two million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 467 864 934 1401 1868 2802 3736 4203 5604 7472 8406 11208 12609 14944 16812 22416 25218 30539 33624 44832 50436 61078 67248 91617 100872 122156 134496 183234 201744 244312 274851 366468 403488 488624 549702 732936 824553 977248 1099404 1465872 1649106 2198808 2931744 3298212 4397616 6596424 8795232 13192848 14261713 26385696 28523426 42785139 57046852 85570278 114093704 128355417 171140556 228187408 256710834 342281112 385066251 456374816 513421668 684562224 770132502 1026843336 1369124448 1540265004 2053686672 3080530008 4107373344 6161060016 12322120032