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3330441212120 = 23511611033120121
BaseRepresentation
bin110000011101101101110…
…000111111000011011000
3102210101110011201002210222
4300131231300333003120
5414031220422241440
611025552241255212
7462421303134131
oct60355560770330
912711404632728
103330441212120
111074483270220
12459566034508
131b20a0264659
14b72a0cd4c88
155b9746312b5
hex3076dc3f0d8

3330441212120 has 128 divisors (see below), whose sum is σ = 8316843670080. Its totient is φ = 1190052864000.

The previous prime is 3330441212069. The next prime is 3330441212123. The reversal of 3330441212120 is 212121440333.

It is a super-2 number, since 2×33304412121202 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3330441212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330441212123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27665660 + ... + 27785780.

Almost surely, 23330441212120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330441212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158421835040).

3330441212120 is an abundant number, since it is smaller than the sum of its proper divisors (4986402457960).

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

3330441212120 is a wasteful number, since it uses less digits than its factorization.

3330441212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121237 (or 121233 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 3330441212120 its reverse (212121440333), we get a palindrome (3542562652453).

The spelling of 3330441212120 in words is "three trillion, three hundred thirty billion, four hundred forty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1033 1220 1342 2066 2440 2684 3355 4132 5165 5368 6710 8264 10330 11363 13420 20660 22726 26840 41320 45452 56815 63013 90904 113630 120121 126026 227260 240242 252052 315065 454520 480484 504104 600605 630130 693143 960968 1201210 1260260 1321331 1386286 2402420 2520520 2642662 2772572 3465715 4804840 5285324 5545144 6606655 6931430 7327381 10570648 13213310 13862860 14654762 26426620 27725720 29309524 36636905 52853240 58619048 73273810 80601191 124084993 146547620 161202382 248169986 293095240 322404764 403005955 496339972 620424965 644809528 806011910 992679944 1240849930 1364934923 1612023820 2481699860 2729869846 3224047640 4963399720 5459739692 6824674615 7569184573 10919479384 13649349230 15138369146 27298698460 30276738292 37845922865 54597396920 60553476584 75691845730 83261030303 151383691460 166522060606 302767382920 333044121212 416305151515 666088242424 832610303030 1665220606060 3330441212120