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1121121130122 = 232722381149199
BaseRepresentation
bin10000010100001000000…
…001101101011010001010
310222011210212012100101100
4100110020001231122022
5121332024002130442
62215011432402230
7143666266241250
oct20241001553212
93864725170340
101121121130122
113a2512717734
12161345246376
138194b8214c6
143c39662c5d0
151e269d7884c
hex1050806d68a

1121121130122 has 96 divisors (see below), whose sum is σ = 2792053555200. Its totient is φ = 318484236960.

The previous prime is 1121121130121. The next prime is 1121121130249. The reversal of 1121121130122 is 2210311211211.

It is a happy number.

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 = 1121121130095 and 1121121130104.

It is not an unprimeable number, because it can be changed into a prime (1121121130121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22762879 + ... + 22812077.

It is an arithmetic number, because the mean of its divisors is an integer number (29083891200).

Almost surely, 21121121130122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121121130122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396026777600).

1121121130122 is an abundant number, since it is smaller than the sum of its proper divisors (1670932425078).

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

1121121130122 is a wasteful number, since it uses less digits than its factorization.

1121121130122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50248 (or 50245 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1121121130122 its reverse (2210311211211), we get a palindrome (3331432341333).

The spelling of 1121121130122 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 223 446 669 811 1338 1561 1622 2007 2433 3122 4014 4683 4866 5677 7299 9366 11354 14049 14598 17031 28098 34062 49199 51093 98398 102186 147597 180853 295194 344393 361706 442791 542559 688786 885582 1033179 1085118 1265971 1627677 2066358 2531942 3099537 3255354 3797913 6199074 7595826 10971377 11393739 21942754 22787478 32914131 39900389 65828262 76799639 79800778 98742393 119701167 153599278 197484786 230398917 239402334 279302723 359103501 460797834 558605446 691196751 718207002 837908169 1382393502 1675816338 2513724507 5027449014 8897786747 17795573494 26693360241 53386720482 62284507229 80080080723 124569014458 160160161446 186853521687 373707043374 560560565061 1121121130122