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2213211012120 = 2332547912834673
BaseRepresentation
bin100000001101001101101…
…001111111110000011000
321211120200110222111010200
4200031031221333300120
5242230124004341440
64412422440542200
7315620301130263
oct40151551776030
97746613874120
102213211012120
11783687a10a19
122b8b27a81960
13130921896984
1479197347cda
153c886185c30
hex2034da7fc18

2213211012120 has 96 divisors (see below), whose sum is σ = 7207952918400. Its totient is φ = 588957428736.

The previous prime is 2213211012053. The next prime is 2213211012209. The reversal of 2213211012120 is 212101123122.

2213211012120 is a `hidden beast` number, since 221 + 321 + 1 + 0 + 1 + 2 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2213211012093 and 2213211012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6244897 + ... + 6589776.

It is an arithmetic number, because the mean of its divisors is an integer number (75082842900).

Almost surely, 22213211012120 is an apocalyptic number.

2213211012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213211012120 is an abundant number, since it is smaller than the sum of its proper divisors (4994741906280).

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

2213211012120 is a wasteful number, since it uses less digits than its factorization.

2213211012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12835169 (or 12835162 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2213211012120 its reverse (212101123122), we get a palindrome (2425312135242).

The spelling of 2213211012120 in words is "two trillion, two hundred thirteen billion, two hundred eleven million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 479 958 1437 1916 2395 2874 3832 4311 4790 5748 7185 8622 9580 11496 14370 17244 19160 21555 28740 34488 43110 57480 86220 172440 12834673 25669346 38504019 51338692 64173365 77008038 102677384 115512057 128346730 154016076 192520095 231024114 256693460 308032152 385040190 462048228 513386920 577560285 770080380 924096456 1155120570 1540160760 2310241140 4620482280 6147808367 12295616734 18443425101 24591233468 30739041835 36886850202 49182466936 55330275303 61478083670 73773700404 92217125505 110660550606 122956167340 147547400808 184434251010 221321101212 245912334680 276651376515 368868502020 442642202424 553302753030 737737004040 1106605506060 2213211012120