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121188221 = 72111511489
BaseRepresentation
bin1110011100100…
…10111101111101
322110000222222122
413032102331331
5222011010341
620005252325
73001040300
oct716227575
9273028878
10121188221
1162453560
12347040a5
131c151a0b
1412148b37
15a98c94b
hex7392f7d

121188221 has 24 divisors (see below), whose sum is σ = 154912320. Its totient is φ = 93744000.

The previous prime is 121188203. The next prime is 121188227. The reversal of 121188221 is 122881121.

It is not a de Polignac number, because 121188221 - 218 = 120926077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121188227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80645 + ... + 82133.

It is an arithmetic number, because the mean of its divisors is an integer number (6454680).

Almost surely, 2121188221 is an apocalyptic number.

121188221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121188221 is a deficient number, since it is larger than the sum of its proper divisors (33724099).

121188221 is a wasteful number, since it uses less digits than its factorization.

121188221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1658 counting only the distinct ones).

The product of its digits is 512, while the sum is 26.

The square root of 121188221 is about 11008.5521754679. The cubic root of 121188221 is about 494.8650735882.

The spelling of 121188221 in words is "one hundred twenty-one million, one hundred eighty-eight thousand, two hundred twenty-one".

Divisors: 1 7 11 49 77 151 539 1057 1489 1661 7399 10423 11627 16379 72961 81389 114653 224839 802571 1573873 2473229 11017111 17312603 121188221