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121213224 = 233211314937
BaseRepresentation
bin1110011100110…
…01000100101000
322110002021021200
413032121010220
5222012310344
620010004200
73001203216
oct716310450
9273067250
10121213224
1162470320
1234716660
131c160202
1412153cb6
15a995069
hex7399128

121213224 has 96 divisors (see below), whose sum is σ = 369757440. Its totient is φ = 35539200.

The previous prime is 121213219. The next prime is 121213229. The reversal of 121213224 is 422312121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121213219) and next prime (121213229).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121213197 and 121213206.

It is not an unprimeable number, because it can be changed into a prime (121213229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22084 + ... + 27020.

It is an arithmetic number, because the mean of its divisors is an integer number (3851640).

Almost surely, 2121213224 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 121213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184878720).

121213224 is an abundant number, since it is smaller than the sum of its proper divisors (248544216).

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

121213224 is a wasteful number, since it uses less digits than its factorization.

121213224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4984 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 121213224 is about 11009.6877339914. The cubic root of 121213224 is about 494.8991040149.

Adding to 121213224 its reverse (422312121), we get a palindrome (543525345).

The spelling of 121213224 in words is "one hundred twenty-one million, two hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 4937 6138 8184 9874 12276 14811 19748 24552 29622 39496 44433 54307 59244 88866 108614 118488 153047 162921 177732 217228 306094 325842 355464 434456 459141 488763 612188 651684 918282 977526 1224376 1303368 1377423 1683517 1836564 1955052 2754846 3367034 3673128 3910104 5050551 5509692 6734068 10101102 11019384 13468136 15151653 20202204 30303306 40404408 60606612 121213224