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10021122001212 = 22371918959331183
BaseRepresentation
bin1001000111010011100101…
…1010101100100100111100
31022111000021020000002101120
42101310321122230210330
52303141224213014322
633151350114510540
72053000513366620
oct221647132544474
938430236002346
1010021122001212
113213a30135173
12115a1b1595450
13578cac1180aa
1426904c43d180
15125a1443da5c
hex91d396ac93c

10021122001212 has 96 divisors (see below), whose sum is σ = 28131033907200. Its totient is φ = 2712332889792.

The previous prime is 10021122001201. The next prime is 10021122001213. The reversal of 10021122001212 is 21210022112001.

10021122001212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10021122001191 and 10021122001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021122001213) 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, 30092973 + ... + 30424155.

It is an arithmetic number, because the mean of its divisors is an integer number (293031603200).

Almost surely, 210021122001212 is an apocalyptic number.

10021122001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10021122001212 is an abundant number, since it is smaller than the sum of its proper divisors (18109911905988).

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

10021122001212 is a wasteful number, since it uses less digits than its factorization.

10021122001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350175 (or 350173 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10021122001212 its reverse (21210022112001), we get a palindrome (31231144113213).

The spelling of 10021122001212 in words is "ten trillion, twenty-one billion, one hundred twenty-two million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 18959 37918 56877 75836 113754 132713 227508 265426 331183 360221 398139 530852 662366 720442 796278 993549 1080663 1324732 1440884 1592556 1987098 2161326 2318281 2521547 3974196 4322652 4636562 5043094 6292477 6954843 7564641 9273124 10086188 12584954 13909686 15129282 18877431 25169908 27819372 30258564 37754862 44047339 75509724 88094678 132142017 176189356 264284034 528568068 6278898497 12557796994 18836695491 25115593988 37673390982 43952289479 75346781964 87904578958 119299071443 131856868437 175809157916 238598142886 263713736874 357897214329 477196285772 527427473748 715794428658 835093500101 1431588857316 1670187000202 2505280500303 3340374000404 5010561000606 10021122001212