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120013212212 = 222923310214349
BaseRepresentation
bin110111111000101011…
…0000100101000110100
3102110202221000212020122
41233301112010220310
53431241340242322
6131044443351112
711446016320655
oct1576126045064
9373687025218
10120013212212
1146996369703
121b314222498
13b417b6204a
145b46dc552c
1531c6215442
hex1bf1584a34

120013212212 has 48 divisors (see below), whose sum is σ = 218461698000. Its totient is φ = 57619000320.

The previous prime is 120013212167. The next prime is 120013212217. The reversal of 120013212212 is 212212310021.

It can be written as a sum of positive squares in 8 ways, for example, as 20230510756 + 99782701456 = 142234^2 + 315884^2 .

It is a super-2 number, since 2×1200132122122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013212217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27593414 + ... + 27597762.

It is an arithmetic number, because the mean of its divisors is an integer number (4551285375).

Almost surely, 2120013212212 is an apocalyptic number.

It is an amenable number.

120013212212 is a deficient number, since it is larger than the sum of its proper divisors (98448485788).

120013212212 is a wasteful number, since it uses less digits than its factorization.

120013212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5634 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 120013212212 its reverse (212212310021), we get a palindrome (332225522233).

The spelling of 120013212212 in words is "one hundred twenty billion, thirteen million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 29 58 116 233 466 932 1021 2042 4084 4349 6757 8698 13514 17396 27028 29609 59218 118436 126121 237893 252242 475786 504484 951572 1013317 2026634 4053268 4440329 6898897 8880658 13797794 17761316 27595588 29386193 58772386 117544772 128769541 257539082 515078164 1034596657 2069193314 4138386628 30003303053 60006606106 120013212212