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212010222221120 = 26519179194805041
BaseRepresentation
bin110000001101001001111001…
…111110111111011101000000
31000210122222102220121210120002
4300031021321332333131000
5210242033413342033440
62030524052421135132
762441142642636131
oct6015117176773500
91023588386553502
10212010222221120
116160a037392184
121b94100255a4a8
13913b62a7035cb
143a4d4c708dc88
151979d14616115
hexc0d279fbf740

212010222221120 has 112 divisors (see below), whose sum is σ = 534389191214400. Its totient is φ = 79891884564480.

The previous prime is 212010222221107. The next prime is 212010222221129. The reversal of 212010222221120 is 21122222010212.

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 = 212010222221092 and 212010222221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010222221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96314201 + ... + 98490840.

Almost surely, 2212010222221120 is an apocalyptic number.

212010222221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010222221120 is an abundant number, since it is smaller than the sum of its proper divisors (322378968993280).

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

212010222221120 is a wasteful number, since it uses less digits than its factorization.

212010222221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194805256 (or 194805246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212010222221120 its reverse (21122222010212), we get a palindrome (233132444231332).

The spelling of 212010222221120 in words is "two hundred twelve trillion, ten billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 179 190 304 320 358 380 608 716 760 895 1216 1432 1520 1790 2864 3040 3401 3580 5728 6080 6802 7160 11456 13604 14320 17005 27208 28640 34010 54416 57280 68020 108832 136040 217664 272080 544160 1088320 194805041 389610082 779220164 974025205 1558440328 1948050410 3116880656 3701295779 3896100820 6233761312 7402591558 7792201640 12467522624 14805183116 15584403280 18506478895 29610366232 31168806560 34870102339 37012957790 59220732464 62337613120 69740204678 74025915580 118441464928 139480409356 148051831160 174350511695 236882929856 278960818712 296103662320 348701023390 557921637424 592207324640 662531944441 697402046780 1115843274848 1184414649280 1325063888882 1394804093560 2231686549696 2650127777764 2789608187120 3312659722205 5300255555528 5579216374240 6625319444410 10600511111056 11158432748480 13250638888820 21201022222112 26501277777640 42402044444224 53002555555280 106005111110560 212010222221120