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12001021512 = 23323297110559
BaseRepresentation
bin10110010110101000…
…10000111001001000
31010222101001001121020
423023110100321020
5144034230142022
65302503312440
7603252666624
oct131324207110
933871031536
1012001021512
1150a929a0a7
1223ab14b720
13119343177c
1481bc06184
154a38c335c
hex2cb510e48

12001021512 has 128 divisors (see below), whose sum is σ = 32845824000. Its totient is φ = 3642087680.

The previous prime is 12001021457. The next prime is 12001021519. The reversal of 12001021512 is 21512010021.

It is a super-2 number, since 2×120010215122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12001021491 and 12001021500.

It is not an unprimeable number, because it can be changed into a prime (12001021519) 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, 1131289 + ... + 1141847.

It is an arithmetic number, because the mean of its divisors is an integer number (256608000).

Almost surely, 212001021512 is an apocalyptic number.

12001021512 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 12001021512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16422912000).

12001021512 is an abundant number, since it is smaller than the sum of its proper divisors (20844802488).

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

12001021512 is a wasteful number, since it uses less digits than its factorization.

12001021512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10691 (or 10687 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 12001021512 its reverse (21512010021), we get a palindrome (33513031533).

The spelling of 12001021512 in words is "twelve billion, one million, twenty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 71 87 92 116 138 142 174 184 213 232 276 284 348 426 552 568 667 696 852 1334 1633 1704 2001 2059 2668 3266 4002 4118 4899 5336 6177 6532 8004 8236 9798 10559 12354 13064 16008 16472 19596 21118 24708 31677 39192 42236 47357 49416 63354 84472 94714 126708 142071 189428 242857 253416 284142 306211 378856 485714 568284 612422 728571 749689 918633 971428 1136568 1224844 1457142 1499378 1837266 1942856 2249067 2449688 2914284 2998756 3674532 4498134 5828568 5997512 7042853 7349064 8996268 14085706 17242847 17992536 21128559 21740981 28171412 34485694 42257118 43481962 51728541 56342824 65222943 68971388 84514236 86963924 103457082 130445886 137942776 169028472 173927848 206914164 260891772 413828328 500042563 521783544 1000085126 1500127689 2000170252 3000255378 4000340504 6000510756 12001021512