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1232012002312 = 237213273254753
BaseRepresentation
bin10001111011011001101…
…000110100010000001000
311100210001000221022122201
4101323121220310100020
5130141130033033222
62341551204525544
7155003256142600
oct21733150642010
94323030838581
101232012002312
11435547725253
1217a9323b08b4
138c24176a200
14438b5c73c00
15220aa298427
hex11ed9a34408

1232012002312 has 144 divisors (see below), whose sum is σ = 2949646261140. Its totient is φ = 480710909952.

The previous prime is 1232012002303. The next prime is 1232012002391. The reversal of 1232012002312 is 2132002102321.

It can be written as a sum of positive squares in 6 ways, for example, as 446686375716 + 785325626596 = 668346^2 + 886186^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1232012002312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4708728 + ... + 4963480.

Almost surely, 21232012002312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232012002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474823130570).

1232012002312 is an abundant number, since it is smaller than the sum of its proper divisors (1717634258828).

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

1232012002312 is a wasteful number, since it uses less digits than its factorization.

1232012002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254872 (or 254848 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1232012002312 its reverse (2132002102321), we get a palindrome (3364014104633).

The spelling of 1232012002312 in words is "one trillion, two hundred thirty-two billion, twelve million, two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 73 91 98 104 146 169 182 196 292 338 364 392 511 584 637 676 728 949 1022 1183 1274 1352 1898 2044 2366 2548 3577 3796 4088 4732 5096 6643 7154 7592 8281 9464 12337 13286 14308 16562 24674 26572 28616 33124 46501 49348 53144 66248 86359 93002 98696 172718 186004 254753 345436 372008 509506 604513 690872 1019012 1209026 1783271 2038024 2418052 3311789 3566542 4836104 6623578 7133084 12482897 13247156 14266168 18596969 23182523 24965794 26494312 37193938 43053257 46365046 49931588 74387876 86106514 92730092 99863176 130178783 148775752 162277661 172213028 185460184 241760597 260357566 301372799 324555322 344426056 483521194 520715132 602745598 649110644 911251481 967042388 1041430264 1205491196 1298221288 1692324179 1822502962 1934084776 2109609593 2410982392 3142887761 3384648358 3645005924 4219219186 6285775522 6769296716 7290011848 8438438372 11846269253 12571551044 13538593432 16876876744 22000214327 23692538506 25143102088 44000428654 47385077012 88000857308 94770154024 154001500289 176001714616 308003000578 616006001156 1232012002312