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121504068 = 223274311213
BaseRepresentation
bin1110011111000…
…00000101000100
322110122001020200
413033200011010
5222101112233
620020130500
73003524160
oct717400504
9273561220
10121504068
1162649894
1234836a30
131c2326ca
14121cbca0
15aa01313
hex73e0144

121504068 has 72 divisors (see below), whose sum is σ = 359206848. Its totient is φ = 33905088.

The previous prime is 121504057. The next prime is 121504073. The reversal of 121504068 is 860405121.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5230 + ... + 16442.

It is an arithmetic number, because the mean of its divisors is an integer number (4988984).

Almost surely, 2121504068 is an apocalyptic number.

121504068 is a gapful number since it is divisible by the number (18) 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 121504068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179603424).

121504068 is an abundant number, since it is smaller than the sum of its proper divisors (237702780).

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

121504068 is a wasteful number, since it uses less digits than its factorization.

121504068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11273 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 121504068 is about 11022.8883692070. Note that the first 3 decimals coincide. The cubic root of 121504068 is about 495.2946149433.

Adding to 121504068 its reverse (860405121), we get a palindrome (981909189).

The spelling of 121504068 in words is "one hundred twenty-one million, five hundred four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 11213 22426 33639 44852 67278 78491 100917 134556 156982 201834 235473 313964 403668 470946 482159 706419 941892 964318 1412838 1446477 1928636 2825676 2892954 3375113 4339431 5785908 6750226 8678862 10125339 13500452 17357724 20250678 30376017 40501356 60752034 121504068