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1120202203122 = 2332310118114931
BaseRepresentation
bin10000010011010001010…
…000010001111111110010
310222002102211002000112000
4100103101100101333302
5121323133230444442
62214340324514430
7143634440422632
oct20232120217762
93862384060460
101120202203122
113a2090a38232
1216112954ba16
138183332bc12
143c30a5866c2
151e21435dd4c
hex104d1411ff2

1120202203122 has 128 divisors (see below), whose sum is σ = 2625269667840. Its totient is φ = 353362680000.

The previous prime is 1120202203061. The next prime is 1120202203139. The reversal of 1120202203122 is 2213022020211.

1120202203122 is a `hidden beast` number, since 112 + 0 + 20 + 220 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1120202203095 and 1120202203104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227172997 + ... + 227177927.

It is an arithmetic number, because the mean of its divisors is an integer number (20509919280).

Almost surely, 21120202203122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120202203122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312634833920).

1120202203122 is an abundant number, since it is smaller than the sum of its proper divisors (1505067464718).

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

1120202203122 is a wasteful number, since it uses less digits than its factorization.

1120202203122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6877 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1120202203122 its reverse (2213022020211), we get a palindrome (3333224223333).

The spelling of 1120202203122 in words is "one trillion, one hundred twenty billion, two hundred two million, two hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 101 138 202 207 303 414 606 621 909 1242 1811 1818 2323 2727 3622 4646 4931 5433 5454 6969 9862 10866 13938 14793 16299 20907 29586 32598 41653 41814 44379 48897 62721 83306 88758 97794 113413 124959 125442 133137 182911 226826 249918 266274 340239 365822 374877 498031 548733 680478 749754 996062 1020717 1097466 1124631 1494093 1646199 2041434 2249262 2988186 3062151 3292398 4206953 4482279 4938597 6124302 8413906 8930041 8964558 9877194 11454713 12620859 13446837 17860082 22909426 25241718 26790123 26893674 34364139 37862577 53580246 68728278 75725154 80370369 103092417 113587731 160740738 205390943 206184834 227175462 241111107 309277251 410781886 482222214 616172829 618554502 901934141 1232345658 1803868282 1848518487 2705802423 3697036974 5411604846 5545555461 8117407269 11091110922 16234814538 20744485243 24352221807 41488970486 48704443614 62233455729 124466911458 186700367187 373400734374 560101101561 1120202203122