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121440 = 25351123
BaseRepresentation
bin11101101001100000
320011120210
4131221200
512341230
62334120
71014024
oct355140
9204523
10121440
1183270
125a340
1343377
1432384
1525eb0
hex1da60

121440 has 96 divisors (see below), whose sum is σ = 435456. Its totient is φ = 28160.

The previous prime is 121439. The next prime is 121441. The reversal of 121440 is 44121.

It is an interprime number because it is at equal distance from previous prime (121439) and next prime (121441).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121440.

It is not an unprimeable number, because it can be changed into a prime (121441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5269 + ... + 5291.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2121440 is an apocalyptic number.

121440 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 121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728).

121440 is an abundant number, since it is smaller than the sum of its proper divisors (314016).

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

121440 is a wasteful number, since it uses less digits than its factorization.

121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 121440 is about 348.4824242340. The cubic root of 121440 is about 49.5207544842.

Adding to 121440 its reverse (44121), we get a palindrome (165561).

It can be divided in two parts, 121 and 440, that added together give a triangular number (561 = T33).

The spelling of 121440 in words is "one hundred twenty-one thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 32 33 40 44 46 48 55 60 66 69 80 88 92 96 110 115 120 132 138 160 165 176 184 220 230 240 253 264 276 330 345 352 368 440 460 480 506 528 552 660 690 736 759 880 920 1012 1056 1104 1265 1320 1380 1518 1760 1840 2024 2208 2530 2640 2760 3036 3680 3795 4048 5060 5280 5520 6072 7590 8096 10120 11040 12144 15180 20240 24288 30360 40480 60720 121440