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2121012231312 = 2431353349918329
BaseRepresentation
bin11110110111010110001…
…011100011110010010000
321111202200222201010210010
4132313112023203302100
5234222313112400222
64302213553034520
7306144442333122
oct36672613436220
97452628633703
102121012231312
11748575123307
122a3096855a40
1312501a37bc80
147492c409212
153a28bc7d80c
hex1edd62e3c90

2121012231312 has 160 divisors (see below), whose sum is σ = 6014146320000. Its totient is φ = 640087658496.

The previous prime is 2121012231257. The next prime is 2121012231343. The reversal of 2121012231312 is 2131322101212.

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, 115709764 + ... + 115728092.

It is an arithmetic number, because the mean of its divisors is an integer number (37588414500).

Almost surely, 22121012231312 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 2121012231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007073160000).

2121012231312 is an abundant number, since it is smaller than the sum of its proper divisors (3893134088688).

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

2121012231312 is a wasteful number, since it uses less digits than its factorization.

2121012231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21905 (or 21899 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 2121012231312 its reverse (2131322101212), we get a palindrome (4252334332524).

The spelling of 2121012231312 in words is "two trillion, one hundred twenty-one billion, twelve million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 2067 2544 2756 3499 4134 5512 6998 8268 10497 11024 13996 16536 18329 20994 27992 33072 36658 41988 45487 54987 55984 73316 83976 90974 109974 136461 146632 167952 181948 185447 219948 238277 272922 293264 363896 370894 439896 476554 545844 556341 714831 727792 741788 879792 953108 971437 1091688 1112682 1429662 1483576 1906216 1942874 2183376 2225364 2410811 2859324 2914311 2967152 3812432 3885748 4450728 4821622 5718648 5828622 7232433 7771496 8901456 9643244 11437296 11657244 12628681 14464866 15542992 19286488 23314488 25257362 28929732 37886043 38572976 46628976 50514724 57859464 64133171 75772086 101029448 115718928 128266342 151544172 192399513 202058896 256532684 303088344 384799026 513065368 606176688 769598052 833731223 1026130736 1539196104 1667462446 2501193669 3078392208 3334924892 3399058063 5002387338 6669849784 6798116126 10004774676 10197174189 13339699568 13596232252 20009549352 20394348378 27192464504 40019098704 40788696756 44187754819 54384929008 81577393512 88375509638 132563264457 163154787024 176751019276 265126528914 353502038552 530253057828 707004077104 1060506115656 2121012231312