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121220232 = 233729139179
BaseRepresentation
bin1110011100110…
…10110010001000
322110002121220020
413032122302020
5222013021412
620010100440
73001232520
oct716326210
9273077806
10121220232
1162475611
123471a720
131c163463
1412156680
15a99718c
hex739ac88

121220232 has 128 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 33014016.

The previous prime is 121220213. The next prime is 121220243. The reversal of 121220232 is 232022121.

It is a happy number.

It is a super-2 number, since 2×1212202322 = 29388689292267648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677119 + ... + 677297.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2121220232 is an apocalyptic number.

121220232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

121220232 is an abundant number, since it is smaller than the sum of its proper divisors (241659768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121220232 is a wasteful number, since it uses less digits than its factorization.

121220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 121220232 is about 11010.0059945488. The cubic root of 121220232 is about 494.9086414398.

Adding to 121220232 its reverse (232022121), we get a palindrome (353242353).

The spelling of 121220232 in words is "one hundred twenty-one million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 139 168 174 179 203 232 278 348 358 406 417 537 556 609 696 716 812 834 973 1074 1112 1218 1253 1432 1624 1668 1946 2148 2436 2506 2919 3336 3759 3892 4031 4296 4872 5012 5191 5838 7518 7784 8062 10024 10382 11676 12093 15036 15573 16124 20764 23352 24186 24881 28217 30072 31146 32248 36337 41528 48372 49762 56434 62292 72674 74643 84651 96744 99524 109011 112868 124584 145348 149286 169302 174167 199048 218022 225736 290696 298572 338604 348334 436044 522501 597144 677208 696668 721549 872088 1045002 1393336 1443098 2090004 2164647 2886196 4180008 4329294 5050843 5772392 8658588 10101686 15152529 17317176 20203372 30305058 40406744 60610116 121220232