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222121012112112 = 243191826271333613
BaseRepresentation
bin110010100000010010010100…
…000001100010101011110000
31002010110120011020120122111110
4302200102110001202223300
5213103212313100041422
62104224552334113320
764533466513665201
oct6240222401425360
91063416136518443
10222121012112112
1164857aa0722083
1220ab465964b840
1396c2bc98ac539
143cbca002595a8
151aa2d25b7d60c
hexca0494062af0

222121012112112 has 80 divisors (see below), whose sum is σ = 604017038828160. Its totient is φ = 70143040832256.

The previous prime is 222121012112101. The next prime is 222121012112117. The reversal of 222121012112112 is 211211210121222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222121012112117) 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, 165889018 + ... + 167222630.

It is an arithmetic number, because the mean of its divisors is an integer number (7550212985352).

Almost surely, 2222121012112112 is an apocalyptic number.

It is an amenable number.

222121012112112 is an abundant number, since it is smaller than the sum of its proper divisors (381896026716048).

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

222121012112112 is a wasteful number, since it uses less digits than its factorization.

222121012112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516270 (or 1516264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 222121012112112 its reverse (211211210121222), we get a palindrome (433332222233334).

The spelling of 222121012112112 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, twelve million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 182627 365254 547881 730508 1095762 1333613 1461016 2191524 2667226 2922032 3469913 4000839 4383048 5334452 6939826 8001678 8766096 10409739 10668904 13879652 16003356 20819478 21337808 25338647 27759304 32006712 41638956 50677294 55518608 64013424 76015941 83277912 101354588 152031882 166555824 202709176 304063764 405418352 608127528 1216255056 243553741351 487107482702 730661224053 974214965404 1461322448106 1948429930808 2922644896212 3896859861616 4627521085669 5845289792424 9255042171338 11690579584848 13882563257007 18510084342676 27765126514014 37020168685352 55530253028028 74040337370704 111060506056056 222121012112112