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120212111002221 = 32737235612188831
BaseRepresentation
bin11011010101010100010000…
…001011001000101001101101
3120202122011110201001101012200
4123111110100023020221231
5111224023400404032341
61103400403103452113
734215016114022430
oct3325242013105155
9522564421041180
10120212111002221
1135337740812657
1211595ab48b7039
13520cc518a6c44
1421984237c5817
15dd6ed5e74db6
hex6d55102c8a6d

120212111002221 has 48 divisors (see below), whose sum is σ = 203817521875968. Its totient is φ = 66833209900800.

The previous prime is 120212111002183. The next prime is 120212111002253. The reversal of 120212111002221 is 122200111212021.

120212111002221 is a `hidden beast` number, since 120 + 212 + 1 + 110 + 0 + 2 + 221 = 666.

It is not a de Polignac number, because 120212111002221 - 210 = 120212111001197 is a prime.

It is a super-2 number, since 2×1202121110022212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120212111002194 and 120212111002203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212111004221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53826276 + ... + 56015106.

It is an arithmetic number, because the mean of its divisors is an integer number (4246198372416).

Almost surely, 2120212111002221 is an apocalyptic number.

It is an amenable number.

120212111002221 is a deficient number, since it is larger than the sum of its proper divisors (83605410873747).

120212111002221 is a wasteful number, since it uses less digits than its factorization.

120212111002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212442 (or 2212439 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120212111002221 its reverse (122200111212021), we get a palindrome (242412222214242).

The spelling of 120212111002221 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred eleven million, two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 23561 70683 164927 212049 494781 871757 1484343 2188831 2615271 6102299 6566493 7845813 15321817 18306897 19699479 45965451 54920691 80986747 137896353 242960241 566907229 728880723 1700721687 5102165061 51571047191 154713141573 360997330337 464139424719 1082991991011 1908128746067 3248975973033 5724386238201 13356901222469 17173158714603 40070703667407 120212111002221