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121121121020 = 2252910114231453
BaseRepresentation
bin111000011001101100…
…0011010001011111100
3102120122010202110102012
41300303120122023330
53441024001333040
6131350421550352
711515331353544
oct1606330321374
9376563673365
10121121121020
1147404795a19
121b5832753b8
13b5635517a3
145c101c2324
15323d60e865
hex1c3361a2fc

121121121020 has 96 divisors (see below), whose sum is σ = 266100145920. Its totient is φ = 46250265600.

The previous prime is 121121120999. The next prime is 121121121053. The reversal of 121121121020 is 20121121121.

121121121020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121121120986 and 121121121004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83358614 + ... + 83360066.

It is an arithmetic number, because the mean of its divisors is an integer number (2771876520).

Almost surely, 2121121121020 is an apocalyptic number.

121121121020 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 121121121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133050072960).

121121121020 is an abundant number, since it is smaller than the sum of its proper divisors (144979024900).

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

121121121020 is a wasteful number, since it uses less digits than its factorization.

121121121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121121121020 its reverse (20121121121), we get a palindrome (141242242141).

The spelling of 121121121020 in words is "one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 202 290 404 505 580 1010 1423 1453 2020 2846 2906 2929 5692 5812 5858 7115 7265 11716 14230 14530 14645 28460 29060 29290 41267 42137 58580 82534 84274 143723 146753 165068 168548 206335 210685 287446 293506 412670 421370 574892 587012 718615 733765 825340 842740 1437230 1467530 2067619 2874460 2935060 4135238 4167967 4255837 8270476 8335934 8511674 10338095 16671868 17023348 20676190 20839835 21279185 41352380 41679670 42558370 59960951 83359340 85116740 119921902 208829519 239843804 299804755 417659038 599609510 835318076 1044147595 1199219020 2088295190 4176590380 6056056051 12112112102 24224224204 30280280255 60560560510 121121121020