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122132331132 = 223719559113687
BaseRepresentation
bin111000110111110100…
…1110111101001111100
3102200020121112020220120
41301233221313221330
54000111334044012
6132035023414540
711552360454150
oct1615751675174
9380217466816
10122132331132
1147883576059
121b805a54450
13b694bb5276
145ca860b060
15329c2a758c
hex1c6fa77a7c

122132331132 has 96 divisors (see below), whose sum is σ = 342913966080. Its totient is φ = 33050047680.

The previous prime is 122132331091. The next prime is 122132331161. The reversal of 122132331132 is 231133231221.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8916393 + ... + 8930079.

It is an arithmetic number, because the mean of its divisors is an integer number (3572020480).

Almost surely, 2122132331132 is an apocalyptic number.

122132331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122132331132 is an abundant number, since it is smaller than the sum of its proper divisors (220781634948).

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

122132331132 is a wasteful number, since it uses less digits than its factorization.

122132331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19311 (or 19309 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 122132331132 its reverse (231133231221), we get a palindrome (353265562353).

The spelling of 122132331132 in words is "one hundred twenty-two billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 5591 11182 13687 16773 22364 27374 33546 39137 41061 54748 67092 78274 82122 95809 106229 117411 156548 164244 191618 212458 234822 260053 287427 318687 383236 424916 469644 520106 574854 637374 743603 780159 1040212 1149708 1274748 1487206 1560318 1820371 2230809 2974412 3120636 3640742 4461618 5461113 7281484 8923236 10922226 21844452 76524017 153048034 229572051 306096068 459144102 535668119 918288204 1071336238 1453956323 1607004357 2142672476 2907912646 3214008714 4361868969 5815825292 6428017428 8723737938 10177694261 17447475876 20355388522 30533082783 40710777044 61066165566 122132331132