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12213220211120 = 2453114933051581
BaseRepresentation
bin1011000110111001110010…
…1001101111100110110000
31121020120110022112002121202
42301232130221233212300
53100100133333223440
641550401555110332
72400242660630045
oct261563451574660
947216408462552
1012213220211120
113989663458315
1214530068a23a8
136a79178c3296
143031a178d1cc
15162a61ce4615
hexb1b9ca6f9b0

12213220211120 has 80 divisors (see below), whose sum is σ = 29508452409600. Its totient is φ = 4695968486400.

The previous prime is 12213220211119. The next prime is 12213220211147. The reversal of 12213220211120 is 2111202231221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12213220211092 and 12213220211101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16156271 + ... + 16895310.

It is an arithmetic number, because the mean of its divisors is an integer number (368855655120).

Almost surely, 212213220211120 is an apocalyptic number.

12213220211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213220211120 is an abundant number, since it is smaller than the sum of its proper divisors (17295232198480).

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

12213220211120 is a wasteful number, since it uses less digits than its factorization.

12213220211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33051774 (or 33051768 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12213220211120 its reverse (2111202231221), we get a palindrome (14324422442341).

The spelling of 12213220211120 in words is "twelve trillion, two hundred thirteen billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 149 155 248 298 310 496 596 620 745 1192 1240 1490 2384 2480 2980 4619 5960 9238 11920 18476 23095 36952 46190 73904 92380 184760 369520 33051581 66103162 132206324 165257905 264412648 330515810 528825296 661031620 1024599011 1322063240 2049198022 2644126480 4098396044 4924685569 5122995055 8196792088 9849371138 10245990110 16393584176 19698742276 20491980220 24623427845 39397484552 40983960440 49246855690 78794969104 81967920880 98493711380 152665252639 196987422760 305330505278 393974845520 610661010556 763326263195 1221322021112 1526652526390 2442644042224 3053305052780 6106610105560 12213220211120