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120011212101221 = 738314143298063
BaseRepresentation
bin11011010010011001001001…
…101010101001011001100101
3120201220221220201022210100122
4123102121021222221121211
5111212230430244214341
61103124220103051325
734164344466365000
oct3322311152513145
9521827821283318
10120011212101221
113526a5185aa871
1211562b88140b45
1351c70162876ac
14218c806192537
15dd1b78b3e94b
hex6d2649aa9665

120011212101221 has 32 divisors (see below), whose sum is σ = 141651458457600. Its totient is φ = 101619868118832.

The previous prime is 120011212101211. The next prime is 120011212101233. The reversal of 120011212101221 is 122101212110021.

It is not a de Polignac number, because 120011212101221 - 238 = 119736334194277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120011212101221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120011212101211) 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, 402488036 + ... + 402786098.

It is an arithmetic number, because the mean of its divisors is an integer number (4426608076800).

Almost surely, 2120011212101221 is an apocalyptic number.

It is an amenable number.

120011212101221 is a deficient number, since it is larger than the sum of its proper divisors (21640246356379).

120011212101221 is an equidigital number, since it uses as much as digits as its factorization.

120011212101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312310 (or 312296 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 120011212101221 its reverse (122101212110021), we get a palindrome (242112424211242).

The spelling of 120011212101221 in words is "one hundred twenty trillion, eleven billion, two hundred twelve million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 7 49 83 343 581 4067 14143 28469 99001 298063 693007 1173869 2086441 4851049 8217083 14605087 24739229 57519581 102235609 173174603 402637067 1212222221 4215505009 8485555547 29508535063 206559745441 349886915747 1445918218087 2449208410229 17144458871603 120011212101221