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12221222100 = 22352376716433
BaseRepresentation
bin10110110000111000…
…10000110011010100
31011112201101102000120
423120130100303110
5200012113101400
65340411111540
7611565450063
oct133034206324
934481342016
1012221222100
11520161a05a
122450a425b0
1311c9c3c589
1483d1661da
154b7dbcca0
hex2d8710cd4

12221222100 has 144 divisors (see below), whose sum is σ = 36860015808. Its totient is φ = 3123394560.

The previous prime is 12221222093. The next prime is 12221222113. The reversal of 12221222100 is 122212221.

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 12221222100.

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, 735484 + ... + 751916.

It is an arithmetic number, because the mean of its divisors is an integer number (255972332).

Almost surely, 212221222100 is an apocalyptic number.

12221222100 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 12221222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18430007904).

12221222100 is an abundant number, since it is smaller than the sum of its proper divisors (24638793708).

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

12221222100 is a wasteful number, since it uses less digits than its factorization.

12221222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16554 (or 16547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12221222100 its reverse (122212221), we get a palindrome (12343434321).

12221222100 divided by its reverse (122212221) gives a square (100 = 102).

The spelling of 12221222100 in words is "twelve billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 67 74 75 100 111 134 148 150 185 201 222 268 300 335 370 402 444 555 670 740 804 925 1005 1110 1340 1675 1850 2010 2220 2479 2775 3350 3700 4020 4958 5025 5550 6700 7437 9916 10050 11100 12395 14874 16433 20100 24790 29748 32866 37185 49299 49580 61975 65732 74370 82165 98598 123950 148740 164330 185925 197196 246495 247900 328660 371850 410825 492990 608021 743700 821650 985980 1101011 1216042 1232475 1643300 1824063 2202022 2432084 2464950 3040105 3303033 3648126 4404044 4929900 5505055 6080210 6606066 7296252 9120315 11010110 12160420 13212132 15200525 16515165 18240630 22020220 27525275 30401050 33030330 36481260 40737407 45601575 55050550 60802100 66060660 81474814 82575825 91203150 110101100 122212221 162949628 165151650 182406300 203687035 244424442 330303300 407374070 488848884 611061105 814748140 1018435175 1222122210 2036870350 2444244420 3055305525 4073740700 6110611050 12221222100