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122242442112 = 273471684337
BaseRepresentation
bin111000111011000110…
…1111010001110000000
3102200112021201110210000
41301312031322032000
54000323031121422
6132053555440000
711555165420340
oct1616615721600
9380467643700
10122242442112
114792a74306a
121b8368b6000
13b6b1958cab
145cb90b0d20
1532a6ca7cac
hex1c7637a380

122242442112 has 160 divisors (see below), whose sum is σ = 415761991920. Its totient is φ = 34926391296.

The previous prime is 122242442111. The next prime is 122242442131. The reversal of 122242442112 is 211244242221.

122242442112 is a `hidden beast` number, since 1 + 2 + 22 + 424 + 4 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122242442111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 769593 + ... + 914744.

Almost surely, 2122242442112 is an apocalyptic number.

122242442112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122242442112 is an abundant number, since it is smaller than the sum of its proper divisors (293519549808).

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

122242442112 is an equidigital number, since it uses as much as digits as its factorization.

122242442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684370 (or 1684349 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 122242442112 its reverse (211244242221), we get a palindrome (333486684333).

The spelling of 122242442112 in words is "one hundred twenty-two billion, two hundred forty-two million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 1684337 3368674 5053011 6737348 10106022 11790359 13474696 15159033 20212044 23580718 26949392 30318066 35371077 40424088 45477099 47161436 53898784 60636132 70742154 80848176 90954198 94322872 106113231 107797568 121272264 136431297 141484308 161696352 181908396 188645744 212226462 215595136 242544528 272862594 282968616 318339693 323392704 363816792 377291488 424452924 485089056 545725188 565937232 636679386 646785408 727633584 754582976 848905848 955019079 970178112 1091450376 1131874464 1273358772 1455267168 1509165952 1697811696 1910038158 1940356224 2182900752 2263748928 2546717544 2910534336 3395623392 3820076316 4365801504 4527497856 5093435088 5821068672 6791246784 7640152632 8731603008 10186870176 13582493568 15280305264 17463206016 20373740352 30560610528 40747480704 61121221056 122242442112