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12111421420 = 2257238345317
BaseRepresentation
bin10110100011110010…
…11001111111101100
31011021001202221210201
423101321121333230
5144301010441140
65321445443244
7606063245350
oct132171317754
934231687721
1012111421420
11515564419a
122420110524
1311b0276b67
1482c743460
154ad42e49a
hex2d1e59fec

12111421420 has 96 divisors (see below), whose sum is σ = 30697325568. Its totient is φ = 3924003072.

The previous prime is 12111421393. The next prime is 12111421423. The reversal of 12111421420 is 2412411121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12111421423) 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, 244602 + ... + 289918.

It is an arithmetic number, because the mean of its divisors is an integer number (319763808).

Almost surely, 212111421420 is an apocalyptic number.

12111421420 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 12111421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348662784).

12111421420 is an abundant number, since it is smaller than the sum of its proper divisors (18585904148).

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

12111421420 is a wasteful number, since it uses less digits than its factorization.

12111421420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45439 (or 45437 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12111421420 its reverse (2412411121), we get a palindrome (14523832541).

The spelling of 12111421420 in words is "twelve billion, one hundred eleven million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 83 92 115 140 161 166 230 322 332 415 460 581 644 805 830 1162 1610 1660 1909 2324 2905 3220 3818 5810 7636 9545 11620 13363 19090 26726 38180 45317 53452 66815 90634 133630 181268 226585 267260 317219 453170 634438 906340 1042291 1268876 1586095 2084582 3172190 3761311 4169164 5211455 6344380 7296037 7522622 10422910 14592074 15045244 18806555 20845820 26329177 29184148 36480185 37613110 52658354 72960370 75226220 86510153 105316708 131645885 145920740 173020306 263291770 346040612 432550765 526583540 605571071 865101530 1211142142 1730203060 2422284284 3027855355 6055710710 12111421420