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121221220002112 = 2631432213642077
BaseRepresentation
bin11011100100000000000011…
…110000011110100101000000
3120220012122011020122221110001
4123210000003300132211000
5111342042024310031422
61105452132031445344
734350641560010446
oct3344000360364500
9526178136587401
10121221220002112
11356966a3507a2a
1211719599386854
13528415c097b39
1421d11d18d8b96
15e03397249227
hex6e4003c1e940

121221220002112 has 112 divisors (see below), whose sum is σ = 254197796700672. Its totient is φ = 57265371555840.

The previous prime is 121221220002059. The next prime is 121221220002119. The reversal of 121221220002112 is 211200022122121.

It is a self number, because there is not a number n which added to its sum of digits gives 121221220002112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121221220002119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188474418 + ... + 189116494.

Almost surely, 2121221220002112 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 121221220002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127098898350336).

121221220002112 is an abundant number, since it is smaller than the sum of its proper divisors (132976576698560).

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

121221220002112 is a wasteful number, since it uses less digits than its factorization.

121221220002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644376 (or 644366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 121221220002112 its reverse (211200022122121), we get a palindrome (332421242124233).

The spelling of 121221220002112 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 172 248 344 496 688 992 1333 1376 1984 2213 2666 2752 4426 5332 8852 10664 17704 21328 35408 42656 68603 70816 85312 95159 137206 141632 190318 274412 380636 548824 642077 761272 1097648 1284154 1522544 2195296 2568308 2949929 3045088 4390592 5136616 5899858 6090176 10273232 11799716 19904387 20546464 23599432 27609311 39808774 41092928 47198864 55218622 79617548 94397728 110437244 159235096 188795456 220874488 318470192 441748976 636940384 855888641 883497952 1273880768 1420916401 1711777282 1766995904 2841832802 3423554564 5683665604 6847109128 11367331208 13694218256 22734662416 27388436512 44048408431 45469324832 54776873024 61099405243 88096816862 90938649664 122198810486 176193633724 244397620972 352387267448 488795241944 704774534896 977590483888 1409549069792 1894081562533 1955180967776 2819098139584 3788163125066 3910361935552 7576326250132 15152652500264 30305305000528 60610610001056 121221220002112