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120002222200212 = 22341192033658661
BaseRepresentation
bin11011010010010000110001…
…110100111001010110010100
3120201220002201012020111120000
4123102100301310321112110
5111212104022340401322
61103120132042211300
734163605635445032
oct3322206164712624
9521802635214500
10120002222200212
1135266724a87110
12115612994b3b30
1351c6212932041
14218c1d2249552
15dd17ee7aa3ac
hex6d2431d39594

120002222200212 has 120 divisors (see below), whose sum is σ = 342265839787872. Its totient is φ = 36360348465600.

The previous prime is 120002222200183. The next prime is 120002222200249. The reversal of 120002222200212 is 212002222200021.

120002222200212 is a `hidden beast` number, since 1 + 200 + 0 + 222 + 220 + 0 + 21 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30970162 + ... + 34628822.

Almost surely, 2120002222200212 is an apocalyptic number.

120002222200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120002222200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171132919893936).

120002222200212 is an abundant number, since it is smaller than the sum of its proper divisors (222263617587660).

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

120002222200212 is a wasteful number, since it uses less digits than its factorization.

120002222200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667891 (or 3667880 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120002222200212 its reverse (212002222200021), we get a palindrome (332004444400233).

The spelling of 120002222200212 in words is "one hundred twenty trillion, two billion, two hundred twenty-two million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 9203 18406 27609 36812 55218 82827 101233 110436 165654 202466 248481 303699 331308 404932 496962 607398 745443 911097 993924 1214796 1490886 1822194 2733291 2981772 3644388 3658661 5466582 7317322 8199873 10933164 10975983 14634644 16399746 21951966 32799492 32927949 40245271 43903932 65855898 80490542 98783847 120735813 131711796 160981084 197567694 241471626 296351541 362207439 395135388 482943252 592703082 724414878 1086622317 1185406164 1448829756 2173244634 3259866951 4346489268 6519733902 13039467804 33670657183 67341314366 101011971549 134682628732 202023943098 303035914647 370377229013 404047886196 606071829294 740754458026 909107743941 1111131687039 1212143658588 1481508916052 1818215487882 2222263374078 2727323231823 3333395061117 3636430975764 4444526748156 5454646463646 6666790122234 10000185183351 10909292927292 13333580244468 20000370366702 30000555550053 40000740733404 60001111100106 120002222200212