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120021022012122 = 23371128865084659
BaseRepresentation
bin11011010010100010010010…
…011000011111001011011010
3120201221220020101101220021000
4123102202102120133023122
5111212411023113341442
61103132521335325430
734165142545301220
oct3322422230371332
9521856211356230
10120021022012122
11352736a1a91050
1211564a65520876
1351c7c1a77a9ba
14218d096d92b10
15dd204ee9ed4c
hex6d289261f2da

120021022012122 has 64 divisors (see below), whose sum is σ = 332525775283200. Its totient is φ = 31174291430640.

The previous prime is 120021022012063. The next prime is 120021022012127. The reversal of 120021022012122 is 221210220120021.

It is a happy number.

120021022012122 is a `hidden beast` number, since 1 + 20 + 0 + 210 + 220 + 1 + 212 + 2 = 666.

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 = 120021022012095 and 120021022012104.

It is not an unprimeable number, because it can be changed into a prime (120021022012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14432538172 + ... + 14432546487.

It is an arithmetic number, because the mean of its divisors is an integer number (5195715238800).

Almost surely, 2120021022012122 is an apocalyptic number.

120021022012122 is an abundant number, since it is smaller than the sum of its proper divisors (212504753271078).

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

120021022012122 is a wasteful number, since it uses less digits than its factorization.

120021022012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28865084688 (or 28865084682 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120021022012122 its reverse (221210220120021), we get a palindrome (341231242132143).

The spelling of 120021022012122 in words is "one hundred twenty trillion, twenty-one billion, twenty-two million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 28865084659 57730169318 86595253977 173190507954 202055592613 259785761931 317515931249 404111185226 519571523862 606166777839 635031862498 779357285793 952547793747 1212333555678 1558714571586 1818500333517 1905095587494 2222611518743 2857643381241 3637000667034 4445223037486 5455501000551 5715286762482 6667834556229 8572930143723 10911002001102 13335669112458 17145860287446 20003503668687 40007007337374 60010511006061 120021022012122