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121100430112 = 25194716325999
BaseRepresentation
bin111000011001000100…
…1011110101100100000
3102120120200211020211021
41300302021132230200
53441003202230422
6131344402255224
711514660446314
oct1606211365440
9376520736737
10121100430112
11473a40435a2
121b578357514
13b55c188a4c
145c0b557b44
15323b8c3dc7
hex1c3225eb20

121100430112 has 96 divisors (see below), whose sum is σ = 257886720000. Its totient is φ = 55796283648.

The previous prime is 121100430091. The next prime is 121100430173. The reversal of 121100430112 is 211034001121.

121100430112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1211004301123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 4644889 + ... + 4670887.

It is an arithmetic number, because the mean of its divisors is an integer number (2686320000).

Almost surely, 2121100430112 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 121100430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128943360000).

121100430112 is an abundant number, since it is smaller than the sum of its proper divisors (136786289888).

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

121100430112 is a wasteful number, since it uses less digits than its factorization.

121100430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26238 (or 26230 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 121100430112 its reverse (211034001121), we get a palindrome (332134431233).

The spelling of 121100430112 in words is "one hundred twenty-one billion, one hundred million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 47 76 94 152 163 188 304 326 376 608 652 752 893 1304 1504 1786 2608 3097 3572 5216 6194 7144 7661 12388 14288 15322 24776 25999 28576 30644 49552 51998 61288 99104 103996 122576 145559 207992 245152 291118 415984 493981 582236 831968 987962 1164472 1221953 1975924 2328944 2443906 3951848 4237837 4657888 4887812 7903696 8475674 9775624 15807392 16951348 19551248 23217107 33902696 39102496 46434214 67805392 80518903 92868428 135610784 161037806 185736856 199178339 322075612 371473712 398356678 644151224 742947424 796713356 1288302448 1593426712 2576604896 3186853424 3784388441 6373706848 7568776882 15137553764 30275107528 60550215056 121100430112