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122213223120 = 24354112420043
BaseRepresentation
bin111000111010001111…
…0011100101011010000
3102200110020201222212010
41301310132130223100
54000243041114440
6132051033302520
711554362153642
oct1616436345320
9380406658763
10122213223120
11479151a643a
121b828b64a40
13b6a8898651
145cb5266892
1532a4435580
hex1c7479cad0

122213223120 has 80 divisors (see below), whose sum is σ = 388101534912. Its totient is φ = 31795307520.

The previous prime is 122213223107. The next prime is 122213223133. The reversal of 122213223120 is 21322312221.

It is an interprime number because it is at equal distance from previous prime (122213223107) and next prime (122213223133).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6200182 + ... + 6219861.

Almost surely, 2122213223120 is an apocalyptic number.

122213223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122213223120 is an abundant number, since it is smaller than the sum of its proper divisors (265888311792).

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

122213223120 is a wasteful number, since it uses less digits than its factorization.

122213223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12420100 (or 12420094 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122213223120 its reverse (21322312221), we get a palindrome (143535535341).

The spelling of 122213223120 in words is "one hundred twenty-two billion, two hundred thirteen million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 12420043 24840086 37260129 49680172 62100215 74520258 99360344 124200430 149040516 186300645 198720688 248400860 298081032 372601290 496801720 509221763 596162064 745202580 993603440 1018443526 1490405160 1527665289 2036887052 2546108815 2980810320 3055330578 4073774104 5092217630 6110661156 7638326445 8147548208 10184435260 12221322312 15276652890 20368870520 24442644624 30553305780 40737741040 61106611560 122213223120