Search a number
-
+
121320624 = 24319137971
BaseRepresentation
bin1110011101100…
…11010010110000
322110021201121110
413032303102300
5222024224444
620012153320
73002131305
oct716632260
9273251543
10121320624
1162533a87
1234768840
131c19a069
14121810ac
15a9b6cb9
hex73b34b0

121320624 has 80 divisors (see below), whose sum is σ = 332657280. Its totient is φ = 37992960.

The previous prime is 121320623. The next prime is 121320631. The reversal of 121320624 is 426023121.

It is a self number, because there is not a number n which added to its sum of digits gives 121320624.

It is not an unprimeable number, because it can be changed into a prime (121320623) 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, 124459 + ... + 125429.

It is an arithmetic number, because the mean of its divisors is an integer number (4158216).

Almost surely, 2121320624 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 121320624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166328640).

121320624 is an abundant number, since it is smaller than the sum of its proper divisors (211336656).

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

121320624 is a wasteful number, since it uses less digits than its factorization.

121320624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 121320624 is about 11014.5641765800. The cubic root of 121320624 is about 495.0452279866.

Adding to 121320624 its reverse (426023121), we get a palindrome (547343745).

The spelling of 121320624 in words is "one hundred twenty-one million, three hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 137 152 228 274 304 411 456 548 822 912 971 1096 1644 1942 2192 2603 2913 3288 3884 5206 5826 6576 7768 7809 10412 11652 15536 15618 18449 20824 23304 31236 36898 41648 46608 55347 62472 73796 110694 124944 133027 147592 221388 266054 295184 399081 442776 532108 798162 885552 1064216 1596324 2128432 2527513 3192648 5055026 6385296 7582539 10110052 15165078 20220104 30330156 40440208 60660312 121320624