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12121323024 = 2432953164299
BaseRepresentation
bin10110100100111110…
…01011011000010000
31011021202102000020210
423102133023120100
5144311024314044
65322442004120
7606243355116
oct132237133020
934252360223
1012121323024
115160197438
1224234a6640
1311b23329b5
1482db9dab6
154ae2381b9
hex2d27cb610

12121323024 has 80 divisors (see below), whose sum is σ = 33004584000. Its totient is φ = 3827486208.

The previous prime is 12121323007. The next prime is 12121323031. The reversal of 12121323024 is 42032312121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8374 + ... + 155925.

It is an arithmetic number, because the mean of its divisors is an integer number (412557300).

Almost surely, 212121323024 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 12121323024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16502292000).

12121323024 is an abundant number, since it is smaller than the sum of its proper divisors (20883260976).

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

12121323024 is a wasteful number, since it uses less digits than its factorization.

12121323024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164392 (or 164386 counting only the distinct ones).

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

Adding to 12121323024 its reverse (42032312121), we get a palindrome (54153635145).

The spelling of 12121323024 in words is "twelve billion, one hundred twenty-one million, three hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 53 58 87 106 116 159 174 212 232 318 348 424 464 636 696 848 1272 1392 1537 2544 3074 4611 6148 9222 12296 18444 24592 36888 73776 164299 328598 492897 657196 985794 1314392 1971588 2628784 3943176 4764671 7886352 8707847 9529342 14294013 17415694 19058684 26123541 28588026 34831388 38117368 52247082 57176052 69662776 76234736 104494164 114352104 139325552 208988328 228704208 252527563 417976656 505055126 757582689 1010110252 1515165378 2020220504 3030330756 4040441008 6060661512 12121323024