Search a number
-
+
1001222120000 = 265471352543
BaseRepresentation
bin11101001000111010111…
…11010010001001000000
310112201022220001112221202
432210131133102021000
5112401000330320000
62043542144440332
7132223134413054
oct16443537221100
93481286045852
101001222120000
1135668586a823
121420633190a8
137355153637b
1436660893c64
151b09dbc0dd5
hexe91d7d2240

1001222120000 has 140 divisors (see below), whose sum is σ = 2517680284416. Its totient is φ = 394847040000.

The previous prime is 1001222119973. The next prime is 1001222120089. The reversal of 1001222120000 is 212221001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2663729 + ... + 3016271.

Almost surely, 21001222120000 is an apocalyptic number.

1001222120000 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 1001222120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258840142208).

1001222120000 is an abundant number, since it is smaller than the sum of its proper divisors (1516458164416).

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

1001222120000 is an frugal number, since it uses more digits than its factorization.

1001222120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352646 (or 352621 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001222120000 its reverse (212221001), we get a palindrome (1001434341001).

The spelling of 1001222120000 in words is "one trillion, one billion, two hundred twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 142 160 200 250 284 320 355 400 500 568 625 710 800 1000 1136 1250 1420 1600 1775 2000 2272 2500 2840 3550 4000 4544 5000 5680 7100 8000 8875 10000 11360 14200 17750 20000 22720 28400 35500 40000 44375 56800 71000 88750 113600 142000 177500 284000 352543 355000 568000 705086 710000 1410172 1420000 1762715 2820344 2840000 3525430 5640688 7050860 8813575 11281376 14101720 17627150 22562752 25030553 28203440 35254300 44067875 50061106 56406880 70508600 88135750 100122212 112813760 125152765 141017200 176271500 200244424 220339375 250305530 282034400 352543000 400488848 440678750 500611060 564068800 625763825 705086000 800977696 881357500 1001222120 1251527650 1410172000 1601955392 1762715000 2002444240 2503055300 2820344000 3128819125 3525430000 4004888480 5006110600 6257638250 7050860000 8009776960 10012221200 12515276500 14101720000 15644095625 20024442400 25030553000 31288191250 40048884800 50061106000 62576382500 100122212000 125152765000 200244424000 250305530000 500611060000 1001222120000