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121947804 = 2232111013049
BaseRepresentation
bin1110100010011…
…00011010011100
322111110120221100
413101030122130
5222204312204
620033433100
73010352646
oct721143234
9274416840
10121947804
1162922210
1234a0b790
131c359684
14122a5896
15aa8ca39
hex744c69c

121947804 has 72 divisors (see below), whose sum is σ = 339721200. Its totient is φ = 36576000.

The previous prime is 121947803. The next prime is 121947809. The reversal of 121947804 is 408749121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121947803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38472 + ... + 41520.

It is an arithmetic number, because the mean of its divisors is an integer number (4718350).

Almost surely, 2121947804 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 121947804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169860600).

121947804 is an abundant number, since it is smaller than the sum of its proper divisors (217773396).

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

121947804 is a wasteful number, since it uses less digits than its factorization.

121947804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 121947804 is about 11042.9979625100. The cubic root of 121947804 is about 495.8968253573.

The spelling of 121947804 in words is "one hundred twenty-one million, nine hundred forty-seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3049 3333 3636 4444 6098 6666 9147 9999 12196 13332 18294 19998 27441 33539 36588 39996 54882 67078 100617 109764 134156 201234 301851 307949 402468 603702 615898 923847 1207404 1231796 1847694 2771541 3387439 3695388 5543082 6774878 10162317 11086164 13549756 20324634 30486951 40649268 60973902 121947804