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121120440 = 23357197589
BaseRepresentation
bin1110011100000…
…10011010111000
322102220120000020
413032002122320
5222001323230
620004010440
73000335550
oct716023270
9272816006
10121120440
1162407641
1234690a20
131c129bcc
141212c160
15a977810
hex73826b8

121120440 has 128 divisors (see below), whose sum is σ = 437184000. Its totient is φ = 26224128.

The previous prime is 121120429. The next prime is 121120463. The reversal of 121120440 is 44021121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 12166 + ... + 19754.

It is an arithmetic number, because the mean of its divisors is an integer number (3415500).

Almost surely, 2121120440 is an apocalyptic number.

121120440 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 121120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218592000).

121120440 is an abundant number, since it is smaller than the sum of its proper divisors (316063560).

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

121120440 is a wasteful number, since it uses less digits than its factorization.

121120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 121120440 is about 11005.4731838299. The cubic root of 121120440 is about 494.7727964546.

Adding to 121120440 its reverse (44021121), we get a palindrome (165141561).

The spelling of 121120440 in words is "one hundred twenty-one million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7589 7980 15178 15960 22767 30356 37945 45534 53123 60712 75890 91068 106246 113835 144191 151780 159369 182136 212492 227670 265615 288382 303560 318738 424984 432573 455340 531230 576764 637476 720955 796845 865146 910680 1009337 1062460 1153528 1274952 1441910 1593690 1730292 2018674 2124920 2162865 2883820 3028011 3187380 3460584 4037348 4325730 5046685 5767640 6056022 6374760 8074696 8651460 10093370 12112044 15140055 17302920 20186740 24224088 30280110 40373480 60560220 121120440