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121342222242096 = 24319314291957493
BaseRepresentation
bin11011100101110000110000…
…000011011001000100110000
3120220122012111002201121201220
4123211300300003121010300
5111401032332343221341
61110023503005425040
734362454246043352
oct3345606003310460
9526565432647656
10121342222242096
1135732a47085859
1211738b2886b180
1352926a3ac4acb
1421d6dcddb30d2
15e065ca1c4a66
hex6e5c300d9130

121342222242096 has 80 divisors (see below), whose sum is σ = 340609746723840. Its totient is φ = 37082512730880.

The previous prime is 121342222242089. The next prime is 121342222242097. The reversal of 121342222242096 is 690242222243121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121342222242097) by changing a digit.

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, 2145950475 + ... + 2146007018.

It is an arithmetic number, because the mean of its divisors is an integer number (4257621834048).

Almost surely, 2121342222242096 is an apocalyptic number.

121342222242096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121342222242096 is an abundant number, since it is smaller than the sum of its proper divisors (219267524481744).

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

121342222242096 is a wasteful number, since it uses less digits than its factorization.

121342222242096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291957554 (or 4291957548 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 121342222242096 in words is "one hundred twenty-one trillion, three hundred forty-two billion, two hundred twenty-two million, two hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 7068 9424 14136 28272 4291957493 8583914986 12875872479 17167829972 25751744958 34335659944 51503489916 68671319888 81547192367 103006979832 133050682283 163094384734 206013959664 244641577101 266101364566 326188769468 399152046849 489283154202 532202729132 652377538936 798304093698 978566308404 1064405458264 1304755077872 1596608187396 1957132616808 2128810916528 2527962963377 3193216374792 3914265233616 5055925926754 6386432749584 7583888890131 10111851853508 15167777780262 20223703707016 30335555560524 40447407414032 60671111121048 121342222242096