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12001302001100 = 2252893833351803
BaseRepresentation
bin1010111010100100010101…
…0101111011010111001100
31120111022110101000121112102
42232221011111323113030
53033112131303013400
641305153320254232
72346031310566046
oct256510525732714
946438411017472
1012001302001100
1139077a6119575
121419b23911378
13690944378639
142d6c1a8a0a96
1515c2ac3a89d5
hexaea4557b5cc

12001302001100 has 72 divisors (see below), whose sum is σ = 26342386948080. Its totient is φ = 4745330529280.

The previous prime is 12001302001081. The next prime is 12001302001109. The reversal of 12001302001100 is 110020310021.

It is not an unprimeable number, because it can be changed into a prime (12001302001109) 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, 33937799 + ... + 34289601.

It is an arithmetic number, because the mean of its divisors is an integer number (365866485390).

Almost surely, 212001302001100 is an apocalyptic number.

12001302001100 is a gapful number since it is divisible by the number (10) 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 12001302001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171193474040).

12001302001100 is an abundant number, since it is smaller than the sum of its proper divisors (14341084946980).

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

12001302001100 is a wasteful number, since it uses less digits than its factorization.

12001302001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355739 (or 355732 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12001302001100 its reverse (110020310021), we get a palindrome (12111322311121).

The spelling of 12001302001100 in words is "twelve trillion, one billion, three hundred two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 3833 4450 7666 8900 15332 19165 38330 76660 95825 191650 341137 351803 383300 682274 703606 1364548 1407212 1705685 1759015 3411370 3518030 6822740 7036060 8528425 8795075 17056850 17590150 31310467 34113700 35180300 62620934 125241868 156552335 313104670 626209340 782761675 1348460899 1565523350 2696921798 3131046700 5393843596 6742304495 13484608990 26969217980 33711522475 67423044950 120013020011 134846089900 240026040022 480052080044 600065100055 1200130200110 2400260400220 3000325500275 6000651000550 12001302001100