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12002021222120 = 2351719928949011
BaseRepresentation
bin1010111010100111000000…
…1101100010011011101000
31120111101022111100211021222
42232221300031202123220
53033120114413101440
641305352531521212
72346055163063246
oct256516015423350
946441274324258
1012002021222120
1139080350a6a06
12141a0a4759208
13690a2a3876c7
142d6c881dd796
1515c3005c62b5
hexaea703626e8

12002021222120 has 64 divisors (see below), whose sum is σ = 30097947988800. Its totient is φ = 4280597038080.

The previous prime is 12002021222119. The next prime is 12002021222129. The reversal of 12002021222120 is 2122212020021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (12002021222129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464461586 + ... + 464487425.

It is an arithmetic number, because the mean of its divisors is an integer number (470280437325).

Almost surely, 212002021222120 is an apocalyptic number.

12002021222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002021222120 is an abundant number, since it is smaller than the sum of its proper divisors (18095926766680).

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

12002021222120 is a wasteful number, since it uses less digits than its factorization.

12002021222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928949058 (or 928949054 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12002021222120 its reverse (2122212020021), we get a palindrome (14124233242141).

The spelling of 12002021222120 in words is "twelve trillion, two billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 12920 928949011 1857898022 3715796044 4644745055 7431592088 9289490110 15792133187 17650031209 18578980220 31584266374 35300062418 37157960440 63168532748 70600124836 78960665935 88250156045 126337065496 141200249672 157921331870 176500312090 300050530553 315842663740 353000624180 600101061106 631685327480 706001248360 1200202122212 1500252652765 2400404244424 3000505305530 6001010611060 12002021222120