Search a number
-
+
1212020111120 = 2457131011648379
BaseRepresentation
bin10001101000110010000…
…001110011011100010000
311021212102202200000121012
4101220302001303130100
5124324204122023440
62324443325150052
7153364662650540
oct21506201633420
94255382600535
101212020111120
11428018834525
12176a930bb328
138a3a69713b0
144293aa9d320
15217da0cee65
hex11a32073710

1212020111120 has 160 divisors (see below), whose sum is σ = 3502583320320. Its totient is φ = 379786291200.

The previous prime is 1212020111119. The next prime is 1212020111123. The reversal of 1212020111120 is 211110202121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1212020111095 and 1212020111104.

It is not an unprimeable number, because it can be changed into a prime (1212020111123) 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, 88910 + ... + 1559469.

It is an arithmetic number, because the mean of its divisors is an integer number (21891145752).

Almost surely, 21212020111120 is an apocalyptic number.

1212020111120 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 1212020111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751291660160).

1212020111120 is an abundant number, since it is smaller than the sum of its proper divisors (2290563209200).

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

1212020111120 is a wasteful number, since it uses less digits than its factorization.

1212020111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648513 (or 1648507 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1212020111120 its reverse (211110202121), we get a palindrome (1423130313241).

The spelling of 1212020111120 in words is "one trillion, two hundred twelve billion, twenty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 101 104 112 130 140 182 202 208 260 280 364 404 455 505 520 560 707 728 808 910 1010 1040 1313 1414 1456 1616 1820 2020 2626 2828 3535 3640 4040 5252 5656 6565 7070 7280 8080 9191 10504 11312 13130 14140 18382 21008 26260 28280 36764 45955 52520 56560 73528 91910 105040 147056 183820 367640 735280 1648379 3296758 6593516 8241895 11538653 13187032 16483790 21428927 23077306 26374064 32967580 42857854 46154612 57693265 65935160 85715708 92309224 107144635 115386530 131870320 150002489 166486279 171431416 184618448 214289270 230773060 300004978 332972558 342862832 428578540 461546120 600009956 665945116 750012445 832431395 857157080 923092240 1165403953 1200019912 1331890232 1500024890 1664862790 1714314160 2164321627 2330807906 2400039824 2663780464 3000049780 3329725580 4328643254 4661615812 5827019765 6000099560 6659451160 8657286508 9323231624 10821608135 11654039530 12000199120 13318902320 15150251389 17314573016 18646463248 21643216270 23308079060 30300502778 34629146032 43286432540 46616158120 60601005556 75751256945 86572865080 93232316240 121202011112 151502513890 173145730160 242404022224 303005027780 606010055560 1212020111120