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121022002100112 = 2434767038003059
BaseRepresentation
bin11011100001000110100001…
…011100011111011110010000
3120212111120221102000221201020
4123201012201130133132100
5111330311030014200422
61105220423520435440
734330360013536521
oct3341064134373620
9525446842027636
10121022002100112
113561a16316a613
12116a6a5b778b80
13526b430b01359
1421c56d3642848
15ded0d77b295c
hex6e11a171f790

121022002100112 has 80 divisors (see below), whose sum is σ = 319339764756480. Its totient is φ = 39476460110976.

The previous prime is 121022002100089. The next prime is 121022002100171. The reversal of 121022002100112 is 211001200220121.

It is a junction number, because it is equal to n+sod(n) for n = 121022002100091 and 121022002100100.

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, 11120439 + ... + 19123497.

It is an arithmetic number, because the mean of its divisors is an integer number (3991747059456).

Almost surely, 2121022002100112 is an apocalyptic number.

121022002100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121022002100112 is an abundant number, since it is smaller than the sum of its proper divisors (198317762656368).

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

121022002100112 is a wasteful number, since it uses less digits than its factorization.

121022002100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8009820 (or 8009814 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121022002100112 its reverse (211001200220121), we get a palindrome (332023202320233).

The spelling of 121022002100112 in words is "one hundred twenty-one trillion, twenty-two billion, two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 6703 13406 20109 26812 40218 53624 80436 107248 160872 315041 321744 630082 945123 1260164 1890246 2520328 3780492 5040656 7560984 8003059 15121968 16006118 24009177 32012236 48018354 64024472 96036708 128048944 192073416 376143773 384146832 752287546 1128431319 1504575092 2256862638 3009150184 4513725276 6018300368 9027450552 18054901104 53644504477 107289008954 160933513431 214578017908 321867026862 429156035816 643734053724 858312071632 1287468107448 2521291710419 2574936214896 5042583420838 7563875131257 10085166841676 15127750262514 20170333683352 30255500525028 40340667366704 60511001050056 121022002100112