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120021122200012 = 22116727318145989
BaseRepresentation
bin11011010010100010011000…
…010110101011000111001100
3120201221220111100220222012121
4123102202120112223013030
5111212411224240400022
61103132535314542324
734165145203005205
oct3322423026530714
9521856440828177
10120021122200012
11352737435a0760
1211564a92b979a4
1351c7c35458b87
14218d0a63d25ac
15dd2058b902c7
hex6d28985ab1cc

120021122200012 has 144 divisors (see below), whose sum is σ = 237096330176160. Its totient is φ = 52710636211200.

The previous prime is 120021122199977. The next prime is 120021122200013. The reversal of 120021122200012 is 210002221120021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120021122200013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2609755914 + ... + 2609801902.

It is an arithmetic number, because the mean of its divisors is an integer number (1646502292890).

Almost surely, 2120021122200012 is an apocalyptic number.

It is an amenable number.

120021122200012 is a deficient number, since it is larger than the sum of its proper divisors (117075207976148).

120021122200012 is a wasteful number, since it uses less digits than its factorization.

120021122200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46392 (or 46323 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120021122200012 its reverse (210002221120021), we get a palindrome (330023343320033).

The spelling of 120021122200012 in words is "one hundred twenty trillion, twenty-one billion, one hundred twenty-two million, two hundred thousand, twelve".

Divisors: 1 2 4 11 22 44 67 73 134 146 181 268 292 362 724 737 803 1474 1606 1991 2948 3212 3982 4489 4891 7964 8978 9782 12127 13213 17956 19564 24254 26426 45989 48508 49379 52852 53801 91978 98758 107602 133397 145343 183956 197516 215204 266794 290686 327697 505879 533588 581372 655394 812509 885271 1011758 1310788 1625018 1770542 2023516 3081263 3250036 3357197 3541084 3604667 6162526 6714394 7209334 8324009 8937599 9737981 12325052 13428788 14418668 16648018 17875198 19475962 33296036 33893893 35750396 36929167 38951924 59313157 67787786 73858334 91564099 118626314 135575572 147716668 183128198 206444621 224932199 237252628 366256396 412889242 449864398 557708603 607652657 652444727 825778484 899728796 1115417206 1215305314 1304889454 2230834412 2270890831 2430610628 2474254189 2609778908 4541781662 4948508378 6134794633 6684179227 9083563324 9897016756 12269589266 13368358454 15070457333 24539178532 26736716908 30140914666 37366476401 40712728019 60281829332 74732952802 81425456038 149465905604 162850912076 165775030663 331550061326 411031240411 447840008209 663100122652 822062480822 895680016418 1644124961644 1791360032836 2727752777273 5455505554546 10911011109092 30005280550003 60010561100006 120021122200012