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1242120 = 233511941
BaseRepresentation
bin100101111010000001000
32100002212110
410233100020
5304221440
642342320
713362225
oct4572010
92302773
101242120
11779250
124ba9a0
133464a9
1424494c
15198080
hex12f408

1242120 has 64 divisors (see below), whose sum is σ = 4069440. Its totient is φ = 300800.

The previous prime is 1242119. The next prime is 1242121. The reversal of 1242120 is 212421.

It is an interprime number because it is at equal distance from previous prime (1242119) and next prime (1242121).

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

It is a junction number, because it is equal to n+sod(n) for n = 1242096 and 1242105.

It is not an unprimeable number, because it can be changed into a prime (1242121) 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, 850 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (63585).

21242120 is an apocalyptic number.

1242120 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 1242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034720).

1242120 is an abundant number, since it is smaller than the sum of its proper divisors (2827320).

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

1242120 is a wasteful number, since it uses less digits than its factorization.

1242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 962 counting only the distinct ones).

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

The square root of 1242120 is about 1114.5043741502. The cubic root of 1242120 is about 107.4948979010.

Adding to 1242120 its reverse (212421), we get a palindrome (1454541).

The spelling of 1242120 in words is "one million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 941 1320 1882 2823 3764 4705 5646 7528 9410 10351 11292 14115 18820 20702 22584 28230 31053 37640 41404 51755 56460 62106 82808 103510 112920 124212 155265 207020 248424 310530 414040 621060 1242120