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121002000000112 = 247112323203184039
BaseRepresentation
bin11011100000110011111001…
…001110100010010001110000
3120212102200022102112222210201
4123200303321032202101300
5111324444044000000422
61105203315034204544
734326051234515260
oct3340637116422160
9525380272488721
10121002000000112
1135611729536860
12116a2bb8b83754
135269593b6c91a
1421c4756d717a0
15dec81677e727
hex6e0cf93a2470

121002000000112 has 160 divisors (see below), whose sum is σ = 305013632163840. Its totient is φ = 45091724578560.

The previous prime is 121002000000059. The next prime is 121002000000127. The reversal of 121002000000112 is 211000000200121.

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, 657388189 + ... + 657572227.

It is an arithmetic number, because the mean of its divisors is an integer number (1906335201024).

Almost surely, 2121002000000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121002000000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152506816081920).

121002000000112 is an abundant number, since it is smaller than the sum of its proper divisors (184011632163728).

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

121002000000112 is a wasteful number, since it uses less digits than its factorization.

121002000000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207291 (or 207285 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121002000000112 its reverse (211000000200121), we get a palindrome (332002000200233).

The spelling of 121002000000112 in words is "one hundred twenty-one trillion, two billion, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 184 253 308 322 368 506 616 644 1012 1232 1288 1771 2024 2576 3542 4048 7084 14168 23203 28336 46406 92812 162421 184039 185624 255233 324842 368078 371248 510466 533669 649684 736156 1020932 1067338 1288273 1299368 1472312 1786631 2024429 2041864 2134676 2576546 2598736 2944624 3573262 3735683 4048858 4083728 4232897 4269352 5153092 5870359 7146524 7471366 8097716 8465794 8538704 10306184 11740718 14171003 14293048 14942732 16195432 16931588 20612368 23481436 28342006 28586096 29630279 29885464 32390864 33863176 41092513 46561867 46962872 56684012 59260558 59770928 67726352 82185026 93123734 93925744 113368024 118521116 164370052 186247468 226736048 237042232 325933069 328740104 372494936 474084464 651866138 657480208 744989872 1303732276 2607464552 4270256917 5214929104 8540513834 17081027668 29891798419 34162055336 46972826087 59783596838 68324110672 93945652174 98215909091 119567193676 187891304348 196431818182 239134387352 328809782609 375782608696 392863636364 478268774704 657619565218 687511363637 751565217392 785727272728 1080375000001 1315239130436 1375022727274 1571454545456 2160750000002 2630478260872 2750045454548 4321500000004 5260956521744 5500090909096 7562625000007 8643000000008 11000181818192 15125250000014 17286000000016 30250500000028 60501000000056 121002000000112