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121120331211432 = 23337320924962929
BaseRepresentation
bin11011100010100010000110…
…010100010010001010101000
3120212211222202010121100121000
4123202202012110102022220
5111333413414242231212
61105333524554515000
734340440501310460
oct3342420624221250
9525758663540530
10121120331211432
1135657931406283
1211701b21a35a60
1352777a13b7b67
1421ca3807d8ba0
15e0093ee991dc
hex6e28865122a8

121120331211432 has 128 divisors (see below), whose sum is σ = 384628825440000. Its totient is φ = 34595023546368.

The previous prime is 121120331211359. The next prime is 121120331211469. The reversal of 121120331211432 is 234112133021121.

121120331211432 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 203 + 3 + 1 + 21 + 1 + 432 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121120331211396 and 121120331211405.

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, 7629457 + ... + 17333472.

It is an arithmetic number, because the mean of its divisors is an integer number (3004912698750).

Almost surely, 2121120331211432 is an apocalyptic number.

121120331211432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121120331211432 is an abundant number, since it is smaller than the sum of its proper divisors (263508494228568).

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

121120331211432 is a wasteful number, since it uses less digits than its factorization.

121120331211432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24966160 (or 24966150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 121120331211432 its reverse (234112133021121), we get a palindrome (355232464232553).

The spelling of 121120331211432 in words is "one hundred twenty-one trillion, one hundred twenty billion, three hundred thirty-one million, two hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3209 6418 9627 12836 19254 22463 25672 28881 38508 44926 57762 67389 77016 86643 89852 115524 134778 173286 179704 202167 231048 269556 346572 404334 539112 606501 693144 808668 1213002 1617336 2426004 4852008 24962929 49925858 74888787 99851716 149777574 174740503 199703432 224666361 299555148 349481006 449332722 524221509 599110296 673999083 698962012 898665444 1048443018 1347998166 1397924024 1572664527 1797330888 2096886036 2695996332 3145329054 4193772072 4717993581 5391992664 6290658108 9435987162 12581316216 18871974324 37743948648 80106039161 160212078322 240318117483 320424156644 480636234966 560742274127 640848313288 720954352449 961272469932 1121484548254 1441908704898 1682226822381 1922544939864 2162863057347 2242969096508 2883817409796 3364453644762 4325726114694 4485938193016 5046680467143 5767634819592 6728907289524 8651452229388 10093360934286 13457814579048 15140041401429 17302904458776 20186721868572 30280082802858 40373443737144 60560165605716 121120331211432