Search a number
-
+
1212012201000 = 23353503803189
BaseRepresentation
bin10001101000110001100…
…011101000010000101000
311021212102012210010221210
4101220301203220100220
5124324200110413000
62324442443433120
7153364535504136
oct21506143502050
94255365703853
101212012201000
11428014321537
12176a905257a0
138a3a5131b53
1442939a00756
15217d956b350
hex11a318e8428

1212012201000 has 128 divisors (see below), whose sum is σ = 3789000633600. Its totient is φ = 322560300800.

The previous prime is 1212012200983. The next prime is 1212012201007. The reversal of 1212012201000 is 1022102121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1212012201007) 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, 1107406 + ... + 1910594.

It is an arithmetic number, because the mean of its divisors is an integer number (29601567450).

Almost surely, 21212012201000 is an apocalyptic number.

1212012201000 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 1212012201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894500316800).

1212012201000 is an abundant number, since it is smaller than the sum of its proper divisors (2576988432600).

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

1212012201000 is a wasteful number, since it uses less digits than its factorization.

1212012201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803716 (or 803702 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1212012201000 its reverse (1022102121), we get a palindrome (1213034303121).

The spelling of 1212012201000 in words is "one trillion, two hundred twelve billion, twelve million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 503 600 750 1000 1006 1500 1509 2012 2515 3000 3018 4024 5030 6036 7545 10060 12072 12575 15090 20120 25150 30180 37725 50300 60360 62875 75450 100600 125750 150900 188625 251500 301800 377250 503000 754500 803189 1509000 1606378 2409567 3212756 4015945 4819134 6425512 8031890 9638268 12047835 16063780 19276536 20079725 24095670 32127560 40159450 48191340 60239175 80318900 96382680 100398625 120478350 160637800 200797250 240956700 301195875 401594500 404004067 481913400 602391750 803189000 808008134 1204783500 1212012201 1616016268 2020020335 2409567000 2424024402 3232032536 4040040670 4848048804 6060061005 8080081340 9696097608 10100101675 12120122010 16160162680 20200203350 24240244020 30300305025 40400406700 48480488040 50500508375 60600610050 80800813400 101001016750 121201220100 151501525125 202002033500 242402440200 303003050250 404004067000 606006100500 1212012201000