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210120022122012 = 223325734129221813
BaseRepresentation
bin101111110001101001100001…
…010001110101111000011100
31000112222021111121122211121000
4233301221201101311320130
5210020101301130401022
62022515450001110300
762154446012122152
oct5761514121657034
91015867447584530
10210120022122012
1160a50445741042
121b696802328390
1390323050789c2
1439c5c12db73d2
151945a85da76ac
hexbf1a61475e1c

210120022122012 has 96 divisors (see below), whose sum is σ = 546893773876800. Its totient is φ = 69765119410176.

The previous prime is 210120022121969. The next prime is 210120022122013. The reversal of 210120022122012 is 210221220021012.

It is a happy number.

210120022122012 is a `hidden beast` number, since 2 + 10 + 1 + 200 + 221 + 220 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120022122013) 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, 947173618 + ... + 947395430.

It is an arithmetic number, because the mean of its divisors is an integer number (5696810144550).

Almost surely, 2210120022122012 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 210120022122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273446886938400).

210120022122012 is an abundant number, since it is smaller than the sum of its proper divisors (336773751754788).

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

210120022122012 is a wasteful number, since it uses less digits than its factorization.

210120022122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256212 (or 256204 counting only the distinct ones).

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

Adding to 210120022122012 its reverse (210221220021012), we get a palindrome (420341242143024).

The spelling of 210120022122012 in words is "two hundred ten trillion, one hundred twenty billion, twenty-two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 771 1028 1542 2313 3084 4626 6939 9252 13878 27756 34129 68258 102387 136516 204774 221813 307161 409548 443626 614322 665439 887252 921483 1228644 1330878 1842966 1996317 2661756 3685932 3992634 5988951 7985268 8771153 11977902 17542306 23955804 26313459 35084612 52626918 57005941 78940377 105253836 114011882 157880754 171017823 228023764 236821131 315761508 342035646 473642262 513053469 684071292 947284524 1026106938 1539160407 2052213876 3078320814 6156641628 7570255877 15140511754 22710767631 30281023508 45421535262 68132302893 90843070524 136264605786 204396908679 272529211572 408793817358 817587634716 1945555760389 3891111520778 5836667281167 7782223041556 11673334562334 17510001843501 23346669124668 35020003687002 52530005530503 70040007374004 105060011061006 210120022122012