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121124440 = 23523312137
BaseRepresentation
bin1110011100000…
…11011001011000
322102220202111101
413032003121120
5222001440230
620004041144
73000353323
oct716033130
9272822441
10121124440
116240a648
12346931b4
131c12b988
141212d7ba
15a978aca
hex7383658

121124440 has 96 divisors (see below), whose sum is σ = 295993440. Its totient is φ = 44520960.

The previous prime is 121124363. The next prime is 121124441. The reversal of 121124440 is 44421121.

It is a super-2 number, since 2×1211244402 = 29342259930627200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121124441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 884052 + ... + 884188.

It is an arithmetic number, because the mean of its divisors is an integer number (3083265).

Almost surely, 2121124440 is an apocalyptic number.

121124440 is a gapful number since it is divisible by the number (10) 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 121124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147996720).

121124440 is an abundant number, since it is smaller than the sum of its proper divisors (174869000).

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

121124440 is a wasteful number, since it uses less digits than its factorization.

121124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 121124440 is about 11005.6549100905. The cubic root of 121124440 is about 494.7782430151.

Adding to 121124440 its reverse (44421121), we get a palindrome (165545561).

It can be divided in two parts, 1211 and 24440, that added together give a triangular number (25651 = T226).

The spelling of 121124440 in words is "one hundred twenty-one million, one hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 137 155 184 230 248 274 310 460 548 620 685 713 920 961 1096 1240 1370 1426 1922 2740 2852 3151 3565 3844 4247 4805 5480 5704 6302 7130 7688 8494 9610 12604 14260 15755 16988 19220 21235 22103 25208 28520 31510 33976 38440 42470 44206 63020 84940 88412 97681 110515 126040 131657 169880 176824 195362 221030 263314 390724 442060 488405 526628 658285 781448 884120 976810 1053256 1316570 1953620 2633140 3028111 3907240 5266280 6056222 12112444 15140555 24224888 30281110 60562220 121124440