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120012212202012 = 2232132171160345479
BaseRepresentation
bin11011010010011010000101…
…010001101110101000011100
3120201221001111102012011201200
4123102122011101232220130
5111212240002310431022
61103124503230435500
734164411332165514
oct3322320521565034
9521831442164650
10120012212202012
113526a991092349
1211563207062b90
1351c714552b700
14218c89cd28844
15dd1bd6840bac
hex6d268546ea1c

120012212202012 has 108 divisors (see below), whose sum is σ = 347818199011920. Its totient is φ = 34754667757056.

The previous prime is 120012212201941. The next prime is 120012212202023. The reversal of 120012212202012 is 210202212210021.

It is a happy number.

120012212202012 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 221 + 220 + 201 + 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 35 ways as a sum of consecutive naturals, for example, 580069312 + ... + 580276167.

It is an arithmetic number, because the mean of its divisors is an integer number (3220538879740).

Almost surely, 2120012212202012 is an apocalyptic number.

120012212202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120012212202012 is an abundant number, since it is smaller than the sum of its proper divisors (227805986809908).

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

120012212202012 is a wasteful number, since it uses less digits than its factorization.

120012212202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160345532 (or 1160345514 counting only the distinct ones).

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

Adding to 120012212202012 its reverse (210202212210021), we get a palindrome (330214424412033).

The spelling of 120012212202012 in words is "one hundred twenty trillion, twelve billion, two hundred twelve million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 169 204 221 234 306 338 442 468 507 612 663 676 884 1014 1326 1521 1989 2028 2652 2873 3042 3978 5746 6084 7956 8619 11492 17238 25857 34476 51714 103428 1160345479 2320690958 3481036437 4641381916 6962072874 10443109311 13924145748 15084491227 19725873143 20886218622 30168982454 39451746286 41772437244 45253473681 59177619429 60337964908 78903492572 90506947362 118355238858 135760421043 177532858287 181013894724 196098385951 236710477716 256436350859 271520842086 355065716574 392196771902 512872701718 543041684172 588295157853 710131433148 769309052577 784393543804 1025745403436 1176590315706 1538618105154 1764885473559 2307927157731 2353180631412 3077236210308 3333672561167 3529770947118 4615854315462 6667345122334 7059541894236 9231708630924 10001017683501 13334690244668 20002035367002 30003053050503 40004070734004 60006106101006 120012212202012