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121121002000112 = 24172357733554201
BaseRepresentation
bin11011100010100010101110…
…010011001000111011110000
3120212212001110212210221200012
4123202202232103020323300
5111333421303003000422
61105334115320114052
734340463225026552
oct3342425623107360
9525761425727605
10121121002000112
1135658146013794
121170208a605928
13527787a36a23a
1421ca40592b4d2
15e0097dceb4e2
hex6e28ae4c8ef0

121121002000112 has 80 divisors (see below), whose sum is σ = 259728850700352. Its totient is φ = 54425449267200.

The previous prime is 121121002000099. The next prime is 121121002000127. The reversal of 121121002000112 is 211000200121121.

It is a super-2 number, since 2×1211210020001122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13167389 + ... + 20386812.

Almost surely, 2121121002000112 is an apocalyptic number.

It is an amenable number.

121121002000112 is an abundant number, since it is smaller than the sum of its proper divisors (138607848700240).

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

121121002000112 is a wasteful number, since it uses less digits than its factorization.

121121002000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33554826 (or 33554820 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121121002000112 its reverse (211000200121121), we get a palindrome (332121202121233).

The spelling of 121121002000112 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 577 782 1154 1564 2308 3128 4616 6256 9232 9809 13271 19618 26542 39236 53084 78472 106168 156944 212336 225607 451214 902428 1804856 3609712 33554201 67108402 134216804 268433608 536867216 570421417 771746623 1140842834 1543493246 2281685668 3086986492 4563371336 6173972984 9126742672 12347945968 13119692591 19360773977 26239385182 38721547954 52478770364 77443095908 104957540728 154886191816 209915081456 309772383632 329133157609 445297801471 658266315218 890595602942 1316532630436 1781191205884 2633065260872 3562382411768 5266130521744 7124764823536 7570062625007 15140125250014 30280250500028 60560501000056 121121002000112