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121238128 = 241135693
BaseRepresentation
bin1110011100111…
…11001001110000
322110010112110001
413032133021300
5222014110003
620010315344
73001335634
oct716371160
9273115401
10121238128
1162488000
1234728b54
131c16b64b
141215cdc4
15a99c61d
hex739f270

121238128 has 40 divisors (see below), whose sum is σ = 258416496. Its totient is φ = 55098560.

The previous prime is 121238119. The next prime is 121238141. The reversal of 121238128 is 821832121.

It is a junction number, because it is equal to n+sod(n) for n = 121238096 and 121238105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18450 + ... + 24142.

Almost surely, 2121238128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121238128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129208248).

121238128 is an abundant number, since it is smaller than the sum of its proper divisors (137178368).

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

121238128 is an equidigital number, since it uses as much as digits as its factorization.

121238128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734 (or 5706 counting only the distinct ones).

The product of its digits is 1536, while the sum is 28.

The square root of 121238128 is about 11010.8186798258. The cubic root of 121238128 is about 494.9329950456.

It can be divided in two parts, 1212 and 38128, that added together give a triangular number (39340 = T280).

The spelling of 121238128 in words is "one hundred twenty-one million, two hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1331 1936 2662 5324 5693 10648 11386 21296 22772 45544 62623 91088 125246 250492 500984 688853 1001968 1377706 2755412 5510824 7577383 11021648 15154766 30309532 60619064 121238128