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120334140312 = 233234137914029
BaseRepresentation
bin111000000010001111…
…0010100001110011000
3102111121021220200211120
41300010132110032120
53432421014442222
6131140350125240
711456664213261
oct1600436241630
9374537820746
10120334140312
1147040537741
121b3a37b0820
13b4694a9829
145b77885968
1531e44aa15c
hex1c04794398

120334140312 has 128 divisors (see below), whose sum is σ = 322443072000. Its totient is φ = 37330191360.

The previous prime is 120334140287. The next prime is 120334140319. The reversal of 120334140312 is 213041433021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120334140319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8570514 + ... + 8584542.

It is an arithmetic number, because the mean of its divisors is an integer number (2519086500).

Almost surely, 2120334140312 is an apocalyptic number.

120334140312 is a gapful number since it is divisible by the number (12) 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 120334140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161221536000).

120334140312 is an abundant number, since it is smaller than the sum of its proper divisors (202108931688).

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

120334140312 is a wasteful number, since it uses less digits than its factorization.

120334140312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14481 (or 14477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 120334140312 its reverse (213041433021), we get a palindrome (333375573333).

The spelling of 120334140312 in words is "one hundred twenty billion, three hundred thirty-four million, one hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 379 492 552 758 943 984 1137 1516 1886 2274 2829 3032 3772 4548 5658 7544 8717 9096 11316 14029 15539 17434 22632 26151 28058 31078 34868 42087 46617 52302 56116 62156 69736 84174 93234 104604 112232 124312 168348 186468 209208 322667 336696 357397 372936 575189 645334 714794 968001 1072191 1150378 1290668 1429588 1725567 1936002 2144382 2300756 2581336 2859176 3451134 3872004 4288764 4601512 5316991 6902268 7744008 8577528 10633982 13229347 13804536 15950973 21267964 26458694 31901946 39688041 42535928 52917388 63803892 79376082 105834776 122290793 127607784 158752164 217996631 244581586 317504328 366872379 435993262 489163172 653989893 733744758 871986524 978326344 1307979786 1467489516 1743973048 2615959572 2934979032 5013922513 5231919144 10027845026 15041767539 20055690052 30083535078 40111380104 60167070156 120334140312