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121225056 = 25361127163
BaseRepresentation
bin1110011100110…
…11111101100000
322110002212111220
413032123331200
5222013200211
620010135040
73001252551
oct716337540
9273085456
10121225056
11624791a7
1234721480
131c165704
1412158328
15a998806
hex739bf60

121225056 has 96 divisors (see below), whose sum is σ = 327979008. Its totient is φ = 39191040.

The previous prime is 121225051. The next prime is 121225063. The reversal of 121225056 is 650522121.

It is a happy number.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121225051) 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, 743631 + ... + 743793.

It is an arithmetic number, because the mean of its divisors is an integer number (3416448).

Almost surely, 2121225056 is an apocalyptic number.

121225056 is a gapful number since it is divisible by the number (16) 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 121225056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163989504).

121225056 is an abundant number, since it is smaller than the sum of its proper divisors (206753952).

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

121225056 is a wasteful number, since it uses less digits than its factorization.

121225056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 121225056 is about 11010.2250658195. The cubic root of 121225056 is about 494.9152063715.

Adding to 121225056 its reverse (650522121), we get a palindrome (771747177).

The spelling of 121225056 in words is "one hundred twenty-one million, two hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 127 163 183 244 254 326 366 381 488 489 508 652 732 762 976 978 1016 1304 1464 1524 1952 1956 2032 2608 2928 3048 3912 4064 5216 5856 6096 7747 7824 9943 12192 15494 15648 19886 20701 23241 29829 30988 39772 41402 46482 59658 61976 62103 79544 82804 92964 119316 123952 124206 159088 165608 185928 238632 247904 248412 318176 331216 371856 477264 496824 662432 743712 954528 993648 1262761 1987296 2525522 3788283 5051044 7576566 10102088 15153132 20204176 30306264 40408352 60612528 121225056