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1120221212121 = 331171409129887
BaseRepresentation
bin10000010011010010011…
…000110010110111011001
310222002111010211202222000
4100103102120302313121
5121323203112241441
62214342244151213
7143635061123514
oct20232230626731
93862433752860
101120221212121
113a20a0740a50
12161133998509
138183725624b
143c30ccd3d7b
151e215d662b6
hex104d2632dd9

1120221212121 has 64 divisors (see below), whose sum is σ = 1840461004800. Its totient is φ = 667717948800.

The previous prime is 1120221212119. The next prime is 1120221212167. The reversal of 1120221212121 is 1212121220211.

1120221212121 is a `hidden beast` number, since 112 + 0 + 221 + 212 + 121 = 666.

It is not a de Polignac number, because 1120221212121 - 21 = 1120221212119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1120221212094 and 1120221212103.

It is not an unprimeable number, because it can be changed into a prime (1120221212221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8559640 + ... + 8689526.

It is an arithmetic number, because the mean of its divisors is an integer number (28757203200).

Almost surely, 21120221212121 is an apocalyptic number.

1120221212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1120221212121 is a deficient number, since it is larger than the sum of its proper divisors (720239792679).

1120221212121 is a wasteful number, since it uses less digits than its factorization.

1120221212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130387 (or 130381 counting only the distinct ones).

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

Adding to 1120221212121 its reverse (1212121220211), we get a palindrome (2332342432332).

The spelling of 1120221212121 in words is "one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 27 33 71 99 213 297 409 639 781 1227 1917 2343 3681 4499 7029 11043 13497 21087 29039 40491 87117 121473 129887 261351 319429 389661 784053 958287 1168983 1428757 2874861 3506949 4286271 8624583 9221977 12858813 27665931 38576439 53123783 82997793 101441747 159371349 248993379 304325241 478114047 584361613 912975723 1434342141 1753084839 2738927169 3771788593 5259254517 11315365779 15777763551 33946097337 41489674523 101838292011 124469023569 373407070707 1120221212121