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121606720 = 2652931297
BaseRepresentation
bin1110011111110…
…01001001000000
322110211021001121
413033321021000
5222112403340
620022242024
73004432354
oct717711100
9273737047
10121606720
1162709a24
1234886314
131c26a351
1412217464
15aa2194a
hex73f9240

121606720 has 56 divisors (see below), whose sum is σ = 290788344. Its totient is φ = 48439296.

The previous prime is 121606699. The next prime is 121606747. The reversal of 121606720 is 27606121.

It can be written as a sum of positive squares in 4 ways, for example, as 81866304 + 39740416 = 9048^2 + 6304^2 .

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 7 ways as a sum of consecutive naturals, for example, 93112 + ... + 94408.

It is an arithmetic number, because the mean of its divisors is an integer number (5192649).

Almost surely, 2121606720 is an apocalyptic number.

121606720 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 121606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145394172).

121606720 is an abundant number, since it is smaller than the sum of its proper divisors (169181624).

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

121606720 is a wasteful number, since it uses less digits than its factorization.

121606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 121606720 is about 11027.5436974877. The cubic root of 121606720 is about 495.4340579327.

It can be divided in two parts, 121 and 606720, that added together give a square (606841 = 7792).

The spelling of 121606720 in words is "one hundred twenty-one million, six hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 293 320 586 1172 1297 1465 2344 2594 2930 4688 5188 5860 6485 9376 10376 11720 12970 18752 20752 23440 25940 41504 46880 51880 83008 93760 103760 207520 380021 415040 760042 1520084 1900105 3040168 3800210 6080336 7600420 12160672 15200840 24321344 30401680 60803360 121606720