Search a number
-
+
121021122100122 = 235274990583723
BaseRepresentation
bin11011100001000101101100…
…111111100011101110011010
3120212111111200002011022200000
4123201011230333203232122
5111330302224224200442
61105220200323153430
734330326136630056
oct3341055477435632
9525444602138600
10121021122100122
11356198514585a2
12116a6854b15876
13526b3206bb0ba
1421c564c810c66
15ded0853d6d4c
hex6e116cfe3b9a

121021122100122 has 48 divisors (see below), whose sum is σ = 272022923172000. Its totient is φ = 40325699025072.

The previous prime is 121021122100097. The next prime is 121021122100163. The reversal of 121021122100122 is 221001221120121.

121021122100122 is a `hidden beast` number, since 1 + 210 + 211 + 22 + 100 + 122 = 666.

It is a super-2 number, since 2×1210211221001222 (a number of 29 digits) contains 22 as substring.

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 = 121021122100095 and 121021122100104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43955848 + ... + 46627875.

It is an arithmetic number, because the mean of its divisors is an integer number (5667144232750).

Almost surely, 2121021122100122 is an apocalyptic number.

121021122100122 is an abundant number, since it is smaller than the sum of its proper divisors (151001801071878).

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

121021122100122 is an equidigital number, since it uses as much as digits as its factorization.

121021122100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90586489 (or 90586477 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121021122100122 its reverse (221001221120121), we get a palindrome (342022343220243).

The spelling of 121021122100122 in words is "one hundred twenty-one trillion, twenty-one billion, one hundred twenty-two million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 2749 5498 8247 16494 24741 49482 74223 148446 222669 445338 668007 1336014 90583723 181167446 271751169 543502338 815253507 1630507014 2445760521 4891521042 7337281563 14674563126 22011844689 44023689378 249014654527 498029309054 747043963581 1494087927162 2241131890743 4482263781486 6723395672229 13446791344458 20170187016687 40340374033374 60510561050061 121021122100122