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10012220221212 = 2234115563504991
BaseRepresentation
bin1001000110110010011011…
…0101000110011100011100
31022110011021211201210220000
42101230212311012130130
52303020011334034322
633143314522454300
72052234102455346
oct221544665063434
938404254653800
1010012220221212
11321018232a0a0
121158528364390
135781c0b07351
142688460b4296
15125692bb43ac
hex91b26d4671c

10012220221212 has 120 divisors (see below), whose sum is σ = 28558558060032. Its totient is φ = 3033454730400.

The previous prime is 10012220221207. The next prime is 10012220221229. The reversal of 10012220221212 is 21212202221001.

It is a happy number.

10012220221212 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 220 + 221 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19574037 + ... + 20079027.

Almost surely, 210012220221212 is an apocalyptic number.

10012220221212 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 10012220221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279279030016).

10012220221212 is an abundant number, since it is smaller than the sum of its proper divisors (18546337838820).

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

10012220221212 is a wasteful number, since it uses less digits than its factorization.

10012220221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510581 (or 510570 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10012220221212 its reverse (21212202221001), we get a palindrome (31224422442213).

The spelling of 10012220221212 in words is "ten trillion, twelve billion, two hundred twenty million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 5563 11126 16689 22252 33378 50067 61193 66756 100134 122386 150201 183579 200268 244772 300402 367158 450603 504991 550737 600804 734316 901206 1009982 1101474 1514973 1652211 1802412 2019964 2202948 3029946 3304422 4544919 4956633 5554901 6059892 6608844 9089838 9913266 11109802 13634757 16664703 18179676 19826532 22219604 27269514 33329406 40904271 49994109 54539028 66658812 81808542 99988218 149982327 163617084 199976436 299964654 449946981 599929308 899893962 1799787924 2809264933 5618529866 8427794799 11237059732 16855589598 25283384397 30901914263 33711179196 50566768794 61803828526 75850153191 92705742789 101133537588 123607657052 151700306382 185411485578 227550459573 278117228367 303400612764 370822971156 455100919146 556234456734 834351685101 910201838292 1112468913468 1668703370202 2503055055303 3337406740404 5006110110606 10012220221212