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212020111221120 = 2732536809047087
BaseRepresentation
bin110000001101010011000111…
…011010100010000110000000
31000210200220222002112001022100
4300031103013122202012000
5210242214141433033440
62030532410000510400
762441643002022666
oct6015230732420600
91023626862461270
10212020111221120
1161613251482254
121b942b0231b400
13913c5453c84b7
143a4db8459ac36
15197a1e289a230
hexc0d4c76a2180

212020111221120 has 96 divisors (see below), whose sum is σ = 732131946580320. Its totient is φ = 56538696324096.

The previous prime is 212020111221067. The next prime is 212020111221229. The reversal of 212020111221120 is 21122111020212.

212020111221120 is a `hidden beast` number, since 2 + 120 + 201 + 1 + 1 + 221 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 212020111221093 and 212020111221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18404517784 + ... + 18404529303.

It is an arithmetic number, because the mean of its divisors is an integer number (7626374443545).

Almost surely, 2212020111221120 is an apocalyptic number.

212020111221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020111221120 is an abundant number, since it is smaller than the sum of its proper divisors (520111835359200).

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

212020111221120 is a wasteful number, since it uses less digits than its factorization.

212020111221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36809047112 (or 36809047097 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212020111221120 its reverse (21122111020212), we get a palindrome (233142222241332).

The spelling of 212020111221120 in words is "two hundred twelve trillion, twenty billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 36809047087 73618094174 110427141261 147236188348 184045235435 220854282522 294472376696 331281423783 368090470870 441708565044 552135706305 588944753392 662562847566 736180941740 883417130088 1104271412610 1177889506784 1325125695132 1472361883480 1656407118915 1766834260176 2208542825220 2355779013568 2650251390264 2944723766960 3312814237830 3533668520352 4417085650440 4711558027136 5300502780528 5889447533920 6625628475660 7067337040704 8834171300880 10601005561056 11778895067840 13251256951320 14134674081408 17668342601760 21202011122112 23557790135680 26502513902640 35336685203520 42404022244224 53005027805280 70673370407040 106010055610560 212020111221120