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121020122100212 = 222913759629127709
BaseRepresentation
bin11011100001000100110001…
…011000110111000111110100
3120212111102002101111001200022
4123201010301120313013310
5111330243202224201322
61105215513201504312
734330262305026326
oct3341046130670764
9525442071431608
10121020122100212
1135619388a34895
12116a6616042098
13526b1c1480c8a
1421c5595aa3616
15ded027705942
hex6e11316371f4

121020122100212 has 48 divisors (see below), whose sum is σ = 220692764754000. Its totient is φ = 57995631504384.

The previous prime is 121020122100211. The next prime is 121020122100223. The reversal of 121020122100212 is 212001221020121.

It can be written as a sum of positive squares in 8 ways, for example, as 28789944976 + 120991332155236 = 169676^2 + 10999606^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020122100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947560214 + ... + 947687922.

It is an arithmetic number, because the mean of its divisors is an integer number (4597765932375).

Almost surely, 2121020122100212 is an apocalyptic number.

It is an amenable number.

121020122100212 is a deficient number, since it is larger than the sum of its proper divisors (99672642653788).

121020122100212 is a wasteful number, since it uses less digits than its factorization.

121020122100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187508 (or 187506 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121020122100212 its reverse (212001221020121), we get a palindrome (333021343120333).

The spelling of 121020122100212 in words is "one hundred twenty-one trillion, twenty billion, one hundred twenty-two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 29 58 116 137 274 548 3973 7946 15892 59629 119258 127709 238516 255418 510836 1729241 3458482 3703561 6916964 7407122 8169173 14814244 16338346 17496133 32676692 34992266 69984532 236906017 473812034 507387857 947624068 1014775714 2029551428 7615159961 15230319922 30460639844 220839638869 441679277738 883358555476 1043276914657 2086553829314 4173107658628 30255030525053 60510061050106 121020122100212