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121332304442180 = 225135311937380517
BaseRepresentation
bin11011100101100111100000…
…111001111111001101000100
3120220121020212220122011221002
4123211213200321333031010
5111400402024414122210
61110015142520512432
734361653420116656
oct3345474071771504
9526536786564832
10121332304442180
11357298178049a7
121173701b31b718
135291783158250
1421d672cb2a6d6
15e061e96524a5
hex6e59e0e7f344

121332304442180 has 96 divisors (see below), whose sum is σ = 279809371797984. Its totient is φ = 43917494759424.

The previous prime is 121332304442179. The next prime is 121332304442183. The reversal of 121332304442180 is 81244403233121.

It can be written as a sum of positive squares in 16 ways, for example, as 6515807601664 + 114816496840516 = 2552608^2 + 10715246^2 .

It is not an unprimeable number, because it can be changed into a prime (121332304442183) 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, 12749282 + ... + 20129798.

It is an arithmetic number, because the mean of its divisors is an integer number (2914680956229).

Almost surely, 2121332304442180 is an apocalyptic number.

121332304442180 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 121332304442180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139904685898992).

121332304442180 is an abundant number, since it is smaller than the sum of its proper divisors (158477067355804).

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

121332304442180 is a wasteful number, since it uses less digits than its factorization.

121332304442180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7381785 (or 7381783 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 121332304442180 in words is "one hundred twenty-one trillion, three hundred thirty-two billion, three hundred four million, four hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1193 1378 2386 2756 3445 4772 5965 6890 11930 13780 15509 23860 31018 62036 63229 77545 126458 155090 252916 310180 316145 632290 821977 1264580 1643954 3287908 4109885 7380517 8219770 14761034 16439540 29522068 36902585 73805170 95946721 147610340 191893442 383786884 391167401 479733605 782334802 959467210 1564669604 1918934420 1955837005 3911674010 5085176213 7823348020 8804956781 10170352426 17609913562 20340704852 25425881065 35219827124 44024783905 50851762130 88049567810 101703524260 114464438153 176099135620 228928876306 457857752612 466662709393 572322190765 933325418786 1144644381530 1866650837572 2289288763060 2333313546965 4666627093930 6066615222109 9333254187860 12133230444218 24266460888436 30333076110545 60666152221090 121332304442180