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10221212010012 = 22331431949327853
BaseRepresentation
bin1001010010111100111110…
…1101100000011000011100
31100012010201211122200202020
42110233033231200120130
52314431020233310022
633423320542100140
72103313106404143
oct224571755403034
940163654580666
1010221212010012
113290878793303
121190b3327a650
13591b18c901c3
142749d047075a
1512ad2574235c
hex94bcfb6061c

10221212010012 has 96 divisors (see below), whose sum is σ = 25204366387200. Its totient is φ = 3218824707840.

The previous prime is 10221212010007. The next prime is 10221212010013. The reversal of 10221212010012 is 21001021212201.

10221212010012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102212120100122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10221212009973 and 10221212010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221212010013) 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, 31012278 + ... + 31340130.

It is an arithmetic number, because the mean of its divisors is an integer number (262545483200).

Almost surely, 210221212010012 is an apocalyptic number.

10221212010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221212010012 is an abundant number, since it is smaller than the sum of its proper divisors (14983154377188).

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

10221212010012 is a wasteful number, since it uses less digits than its factorization.

10221212010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329883 (or 329881 counting only the distinct ones).

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

Adding to 10221212010012 its reverse (21001021212201), we get a palindrome (31222233222213).

The spelling of 10221212010012 in words is "ten trillion, two hundred twenty-one billion, two hundred twelve million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 31 43 62 86 93 124 129 172 186 258 372 516 1333 1949 2666 3898 3999 5332 5847 7796 7998 11694 15996 23388 60419 83807 120838 167614 181257 241676 251421 327853 335228 362514 502842 655706 725028 983559 1005684 1311412 1967118 2598017 3934236 5196034 7794051 10163443 10392068 14097679 15588102 20326886 28195358 30490329 31176204 40653772 42293037 56390716 60980658 84586074 121961316 169172148 437028049 638985497 874056098 1277970994 1311084147 1748112196 1916956491 2555941988 2622168294 3833912982 5244336588 7667825964 19808550407 27476376371 39617100814 54952752742 59425651221 79234201628 82429129113 109905505484 118851302442 164858258226 237702604884 329716516452 851767667501 1703535335002 2555303002503 3407070670004 5110606005006 10221212010012