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121234331131122 = 2311139113831160941
BaseRepresentation
bin11011100100001100010001…
…001111011101110011110010
3120220020212222222120022020210
4123210030101033131303302
5111342300402232143442
61105502141032444550
734351614512531406
oct3344142117356362
9526225888508223
10121234331131122
11356a1211395240
1211720038249756
13528546b4a8a41
1421d1ab6d11106
15e038b32ed19c
hex6e43113ddcf2

121234331131122 has 64 divisors (see below), whose sum is σ = 266437860756480. Its totient is φ = 36470140660800.

The previous prime is 121234331131079. The next prime is 121234331131127. The reversal of 121234331131122 is 221131133432121.

It is a self number, because there is not a number n which added to its sum of digits gives 121234331131122.

It is not an unprimeable number, because it can be changed into a prime (121234331131127) 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, 103847172 + ... + 105008112.

It is an arithmetic number, because the mean of its divisors is an integer number (4163091574320).

Almost surely, 2121234331131122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121234331131122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133218930378240).

121234331131122 is an abundant number, since it is smaller than the sum of its proper divisors (145203529625358).

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

121234331131122 is a wasteful number, since it uses less digits than its factorization.

121234331131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172479.

The product of its digits is 5184, while the sum is 30.

Adding to 121234331131122 its reverse (221131133432121), we get a palindrome (342365464563243).

The spelling of 121234331131122 in words is "one hundred twenty-one trillion, two hundred thirty-four billion, three hundred thirty-one million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 139 278 417 834 1529 3058 4587 9174 11383 22766 34149 68298 125213 250426 375639 751278 1160941 1582237 2321882 3164474 3482823 4746711 6965646 9493422 12770351 17404607 25540702 34809214 38311053 52213821 76622106 104427642 161370799 322741598 484112397 968224794 1775078789 3550157578 5325236367 10650472734 13214991403 26429982806 39644974209 79289948418 145364905433 290729810866 436094716299 872189432598 1836883805017 3673767610034 5510651415051 11021302830102 20205721855187 40411443710374 60617165565561 121234331131122