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12221231100 = 22352134576857
BaseRepresentation
bin10110110000111000…
…10010111111111100
31011112201101212100220
423120130102333330
5200012113343400
65340411221340
7611565515241
oct133034227774
934481355326
1012221231100
1152016258a1
122450a47850
1311c9c436c0
1483d1695c8
154b7dc07a0
hex2d8712ffc

12221231100 has 144 divisors (see below), whose sum is σ = 38168994528. Its totient is φ = 3001282560.

The previous prime is 12221231039. The next prime is 12221231137. The reversal of 12221231100 is 113212221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12221231100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1778872 + ... + 1785728.

It is an arithmetic number, because the mean of its divisors is an integer number (265062462).

Almost surely, 212221231100 is an apocalyptic number.

12221231100 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 12221231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084497264).

12221231100 is an abundant number, since it is smaller than the sum of its proper divisors (25947763428).

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

12221231100 is a wasteful number, since it uses less digits than its factorization.

12221231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12221231100 its reverse (113212221), we get a palindrome (12334443321).

The spelling of 12221231100 in words is "twelve billion, two hundred twenty-one million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 457 650 780 914 975 1300 1371 1828 1950 2285 2742 3900 4570 5484 5941 6855 6857 9140 11425 11882 13710 13714 17823 20571 22850 23764 27420 27428 29705 34275 34285 35646 41142 45700 59410 68550 68570 71292 82284 89115 89141 102855 118820 137100 137140 148525 171425 178230 178282 205710 267423 297050 342850 356460 356564 411420 445575 445705 514275 534846 594100 685700 891150 891410 1028550 1069692 1337115 1782300 1782820 2057100 2228525 2674230 3133649 4457050 5348460 6267298 6685575 8914100 9400947 12534596 13371150 15668245 18801894 26742300 31336490 37603788 40737437 47004735 62672980 78341225 81474874 94009470 122212311 156682450 162949748 188018940 203687185 235023675 244424622 313364900 407374370 470047350 488849244 611061555 814748740 940094700 1018435925 1222123110 2036871850 2444246220 3055307775 4073743700 6110615550 12221231100