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121123024 = 241119291249
BaseRepresentation
bin1110011100000…
…11000011010000
322102220200112221
413032003003100
5222001414044
620004030424
73000346231
oct716030320
9272820487
10121123024
1162409580
1234692414
131c12b139
141212d088
15a978484
hex73830d0

121123024 has 80 divisors (see below), whose sum is σ = 279000000. Its totient is φ = 50319360.

The previous prime is 121123021. The next prime is 121123031. The reversal of 121123024 is 420321121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 121122989 and 121123007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121123021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96352 + ... + 97600.

It is an arithmetic number, because the mean of its divisors is an integer number (3487500).

Almost surely, 2121123024 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 121123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139500000).

121123024 is an abundant number, since it is smaller than the sum of its proper divisors (157876976).

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

121123024 is a wasteful number, since it uses less digits than its factorization.

121123024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 121123024 is about 11005.5905793374. The cubic root of 121123024 is about 494.7763149464.

Adding to 121123024 its reverse (420321121), we get a palindrome (541444145).

The spelling of 121123024 in words is "one hundred twenty-one million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 19 22 29 38 44 58 76 88 116 152 176 209 232 304 319 418 464 551 638 836 1102 1249 1276 1672 2204 2498 2552 3344 4408 4996 5104 6061 8816 9992 12122 13739 19984 23731 24244 27478 36221 47462 48488 54956 72442 94924 96976 109912 144884 189848 219824 261041 289768 379696 398431 522082 579536 688199 796862 1044164 1376398 1593724 2088328 2752796 3187448 4176656 5505592 6374896 7570189 11011184 15140378 30280756 60561512 121123024