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121210313312 = 25111013499769
BaseRepresentation
bin111000011100010110…
…0101001101001100000
3102120212100120220020102
41300320230221221200
53441214320011222
6131403325401532
711520463443434
oct1607054515140
9376770526212
10121210313312
1147450075460
121b5a91092a8
13b578b7cbaa
145c1bd9c9c4
15324637bd92
hex1c38b29a60

121210313312 has 96 divisors (see below), whose sum is σ = 263684484000. Its totient is φ = 54388224000.

The previous prime is 121210313311. The next prime is 121210313347. The reversal of 121210313312 is 213313012121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121210313311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12402764 + ... + 12412532.

It is an arithmetic number, because the mean of its divisors is an integer number (2746713375).

Almost surely, 2121210313312 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 121210313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131842242000).

121210313312 is an abundant number, since it is smaller than the sum of its proper divisors (142474170688).

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

121210313312 is a wasteful number, since it uses less digits than its factorization.

121210313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240 (or 10232 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121210313312 its reverse (213313012121), we get a palindrome (334523325433).

The spelling of 121210313312 in words is "one hundred twenty-one billion, two hundred ten million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 349 352 404 698 808 1111 1396 1616 2222 2792 3232 3839 4444 5584 7678 8888 9769 11168 15356 17776 19538 30712 35249 35552 39076 61424 70498 78152 107459 122848 140996 156304 214918 281992 312608 387739 429836 563984 775478 859672 986669 1127968 1550956 1719344 1973338 3101912 3409381 3438688 3946676 6203824 6818762 7893352 10853359 12407648 13637524 15786704 21706718 27275048 31573408 37503191 43413436 54550096 75006382 86826872 109100192 150012764 173653744 300025528 344347481 347307488 600051056 688694962 1200102112 1377389924 2754779848 3787822291 5509559696 7575644582 11019119392 15151289164 30302578328 60605156656 121210313312