Search a number
-
+
121068444 = 223713910369
BaseRepresentation
bin1110011011101…
…01101110011100
322102210220200110
413031311232130
5221443142234
620002530020
73000031140
oct715655634
9272726613
10121068444
1162381572
1234666910
131c10c343
1412117220
15a9671e9
hex7375b9c

121068444 has 48 divisors (see below), whose sum is σ = 325203200. Its totient is φ = 34338816.

The previous prime is 121068443. The next prime is 121068457. The reversal of 121068444 is 444860121.

It is a super-2 number, since 2×1210684442 = 29315136265162272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121068443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6492 + ... + 16860.

Almost surely, 2121068444 is an apocalyptic number.

121068444 is a gapful number since it is divisible by the number (14) 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 121068444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162601600).

121068444 is an abundant number, since it is smaller than the sum of its proper divisors (204134756).

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

121068444 is a wasteful number, since it uses less digits than its factorization.

121068444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 121068444 is about 11003.1106510841. The cubic root of 121068444 is about 494.7019857020.

The spelling of 121068444 in words is "one hundred twenty-one million, sixty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1668 1946 2919 3892 5838 10369 11676 20738 31107 41476 62214 72583 124428 145166 217749 290332 435498 870996 1441291 2882582 4323873 5765164 8647746 10089037 17295492 20178074 30267111 40356148 60534222 121068444