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120200122021221 = 321117132113540599
BaseRepresentation
bin11011010101001001000101…
…100100110011010101100101
3120202121000112011200001002100
4123111021011210303111211
5111223324322214134341
61103351101310202313
734214113035251154
oct3325110544632545
9522530464601070
10120200122021221
11353326492a77a0
12115937097b3399
13520ba90acca48
142197a0743559b
15dd6a3367e3b6
hex6d5245933565

120200122021221 has 48 divisors (see below), whose sum is σ = 200549686147200. Its totient is φ = 68562703656960.

The previous prime is 120200122021219. The next prime is 120200122021267. The reversal of 120200122021221 is 122120221002021.

It is a happy number.

120200122021221 is a `hidden beast` number, since 1 + 2 + 0 + 200 + 1 + 220 + 21 + 221 = 666.

It is not a de Polignac number, because 120200122021221 - 21 = 120200122021219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120200122021194 and 120200122021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200122021201) 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 47 ways as a sum of consecutive naturals, for example, 222075880 + ... + 222616478.

It is an arithmetic number, because the mean of its divisors is an integer number (4178118461400).

Almost surely, 2120200122021221 is an apocalyptic number.

120200122021221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120200122021221 is a deficient number, since it is larger than the sum of its proper divisors (80349564125979).

120200122021221 is a wasteful number, since it uses less digits than its factorization.

120200122021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672746 (or 672743 counting only the distinct ones).

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

Adding to 120200122021221 its reverse (122120221002021), we get a palindrome (242320343023242).

The spelling of 120200122021221 in words is "one hundred twenty trillion, two hundred billion, one hundred twenty-two million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 132113 396339 540599 1189017 1453243 1621797 2245921 4359729 4865391 5946589 6737763 9190183 13079187 17839767 20213289 24705131 27570549 53519301 74115393 82711647 101092013 222346179 303276039 909828117 71420155687 214260467061 642781401183 785621712557 1214142646679 2356865137671 3642427940037 7070595413013 10927283820111 13355569113469 40066707340407 120200122021221