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1212102211120 = 245531136134127
BaseRepresentation
bin10001101000110110111…
…010111111011000110000
311021212122111011010121221
4101220312322333120300
5124324341131223440
62324455420554424
7153400010541253
oct21506672773060
94255574133557
101212102211120
1142806010a469
12176ab66b2a14
138a3ba988588
144294795109a
15217e23ead4a
hex11a36ebf630

1212102211120 has 160 divisors (see below), whose sum is σ = 2902148393472. Its totient is φ = 470600073216.

The previous prime is 1212102211087. The next prime is 1212102211127. The reversal of 1212102211120 is 211122012121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1212102211094 and 1212102211103.

It is not an unprimeable number, because it can be changed into a prime (1212102211127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293698497 + ... + 293702623.

Almost surely, 21212102211120 is an apocalyptic number.

1212102211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212102211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451074196736).

1212102211120 is an abundant number, since it is smaller than the sum of its proper divisors (1690046182352).

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

1212102211120 is a wasteful number, since it uses less digits than its factorization.

1212102211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1212102211120 its reverse (211122012121), we get a palindrome (1423224223241).

The spelling of 1212102211120 in words is "one trillion, two hundred twelve billion, one hundred two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 113 212 226 265 424 452 530 565 613 848 904 1060 1130 1226 1808 2120 2260 2452 3065 4127 4240 4520 4904 5989 6130 8254 9040 9808 11978 12260 16508 20635 23956 24520 29945 32489 33016 41270 47912 49040 59890 64978 66032 69269 82540 95824 119780 129956 138538 162445 165080 218731 239560 259912 277076 324890 330160 346345 437462 466351 479120 519824 554152 649780 692690 874924 932702 1093655 1108304 1299560 1385380 1749848 1865404 2187310 2331755 2529851 2599120 2770760 3499696 3671257 3730808 4374620 4663510 5059702 5541520 7342514 7461616 8749240 9327020 10119404 12649255 14685028 17498480 18356285 18654040 20238808 24716603 25298510 29370056 36712570 37308080 40477616 49433206 50597020 58740112 73425140 98866412 101194040 123583015 134082103 146850280 197732824 202388080 247166030 268164206 285873163 293700560 395465648 494332060 536328412 571746326 670410515 988664120 1072656824 1143492652 1340821030 1429365815 1977328240 2145313648 2286985304 2681642060 2858731630 4573970608 5363284120 5717463260 10726568240 11434926520 15151277639 22869853040 30302555278 60605110556 75756388195 121210221112 151512776390 242420442224 303025552780 606051105560 1212102211120