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12001001232 = 2431131799281
BaseRepresentation
bin10110010110101000…
…01011111100010000
31010222101000000210010
423023110023330100
5144034224014412
65302503034520
7603252553533
oct131324137420
933871000703
1012001001232
1150a9285940
1223ab13ba40
13119342547c
1481bbdca1a
154a38bc33c
hex2cb50bf10

12001001232 has 160 divisors (see below), whose sum is σ = 35357736960. Its totient is φ = 3474432000.

The previous prime is 12001001149. The next prime is 12001001239. The reversal of 12001001232 is 23210010021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12001001239) 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, 1288432 + ... + 1297712.

It is an arithmetic number, because the mean of its divisors is an integer number (220985856).

Almost surely, 212001001232 is an apocalyptic number.

12001001232 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 12001001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678868480).

12001001232 is an abundant number, since it is smaller than the sum of its proper divisors (23356735728).

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

12001001232 is a wasteful number, since it uses less digits than its factorization.

12001001232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9413 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12001001232 its reverse (23210010021), we get a palindrome (35211011253).

The spelling of 12001001232 in words is "twelve billion, one million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 79 88 93 124 132 158 176 186 237 248 264 316 341 372 474 496 528 632 682 744 869 948 1023 1264 1364 1488 1738 1896 2046 2449 2607 2728 3476 3792 4092 4898 5214 5456 6952 7347 8184 9281 9796 10428 13904 14694 16368 18562 19592 20856 26939 27843 29388 37124 39184 41712 53878 55686 58776 74248 80817 102091 107756 111372 117552 148496 161634 204182 215512 222744 287711 306273 323268 408364 431024 445488 575422 612546 646536 733199 816728 863133 1150844 1225092 1293072 1466398 1633456 1726266 2199597 2301688 2450184 2932796 3164821 3452532 4399194 4603376 4900368 5865592 6329642 6905064 8065189 8798388 9494463 11731184 12659284 13810128 16130378 17596776 18988926 22729169 24195567 25318568 32260756 35193552 37977852 45458338 48391134 50637136 64521512 68187507 75955704 90916676 96782268 129043024 136375014 151911408 181833352 193564536 250020859 272750028 363666704 387129072 500041718 545500056 750062577 1000083436 1091000112 1500125154 2000166872 3000250308 4000333744 6000500616 12001001232