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12000325632 = 21231079127
BaseRepresentation
bin10110010110100011…
…00111000000000000
31010222022201201000220
423023101213000000
5144034040410012
65302440343040
7603244041051
oct131321470000
933868651026
1012000325632
1150a8964299
1223aaa74a80
131193249ac9
1481baa4728
154a37d708c
hex2cb467000

12000325632 has 104 divisors (see below), whose sum is σ = 32299537536. Its totient is φ = 3962290176.

The previous prime is 12000325627. The next prime is 12000325633. The reversal of 12000325632 is 23652300021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000325633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1310253 + ... + 1319379.

Almost surely, 212000325632 is an apocalyptic number.

12000325632 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 12000325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16149768768).

12000325632 is an abundant number, since it is smaller than the sum of its proper divisors (20299211904).

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

12000325632 is an equidigital number, since it uses as much as digits as its factorization.

12000325632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9261 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 12000325632 its reverse (23652300021), we get a palindrome (35652625653).

The spelling of 12000325632 in words is "twelve billion, three hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1024 1284 1536 1712 2048 2568 3072 3424 4096 5136 6144 6848 9127 10272 12288 13696 18254 20544 27381 27392 36508 41088 54762 54784 73016 82176 109524 109568 146032 164352 219048 219136 292064 328704 438096 438272 584128 657408 876192 976589 1168256 1314816 1752384 1953178 2336512 2929767 3504768 3906356 4673024 5859534 7009536 7812712 9346048 11719068 14019072 15625424 18692096 23438136 28038144 31250848 37384192 46876272 56076288 62501696 93752544 112152576 125003392 187505088 250006784 375010176 500013568 750020352 1000027136 1500040704 2000054272 3000081408 4000108544 6000162816 12000325632