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120102122022201 = 33112575231300799
BaseRepresentation
bin11011010011101101110100…
…010100011110010100111001
3120202020122120101101021102000
4123103231310110132110321
5111220223121214202301
61103234053030131213
734204043355100254
oct3323556424362471
9522218511337360
10120102122022201
11352a5029909a70
12115787197b0b09
135202773767c47
142192d8bc7009b
15dd41e9d07786
hex6d3b7451e539

120102122022201 has 64 divisors (see below), whose sum is σ = 194897608704000. Its totient is φ = 72491836723200.

The previous prime is 120102122022151. The next prime is 120102122022241. The reversal of 120102122022201 is 102220221201021.

It is a happy number.

120102122022201 is a `hidden beast` number, since 1 + 20 + 10 + 212 + 202 + 220 + 1 = 666.

It is not a de Polignac number, because 120102122022201 - 213 = 120102122014009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120102122022241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399126600 + ... + 399427398.

It is an arithmetic number, because the mean of its divisors is an integer number (3045275136000).

Almost surely, 2120102122022201 is an apocalyptic number.

120102122022201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120102122022201 is a deficient number, since it is larger than the sum of its proper divisors (74795486681799).

120102122022201 is a wasteful number, since it uses less digits than its factorization.

120102122022201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306307 (or 306301 counting only the distinct ones).

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

Adding to 120102122022201 its reverse (102220221201021), we get a palindrome (222322343223222).

The spelling of 120102122022201 in words is "one hundred twenty trillion, one hundred two billion, one hundred twenty-two million, twenty-two thousand, two hundred one".

Divisors: 1 3 9 11 27 33 99 257 297 771 2313 2827 5231 6939 8481 15693 25443 47079 57541 76329 141237 172623 300799 517869 902397 1344367 1553607 2707191 3308789 4033101 8121573 9926367 12099303 14788037 29779101 36297909 44364111 77305343 89337303 133092333 231916029 399276999 695748087 850358773 1573479569 2087244261 2551076319 4720438707 7653228957 14161316121 17308275259 22959686871 42483948363 51924825777 155774477331 404384249233 467323431993 1213152747699 3639458243097 4448226741563 10918374729291 13344680224689 40034040674067 120102122022201