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12220000220100 = 223521151213116607
BaseRepresentation
bin1011000111010011000011…
…0001011011001111000100
31121021012221211022020110110
42301310300301123033010
53100203030024020400
641553442434153020
72400602666021061
oct261646061331704
947235854266413
1012220000220100
113991522605422
121454399422770
136a845846290a
14303646001c68
15162d0c155e50
hexb1d30c5b3c4

12220000220100 has 144 divisors (see below), whose sum is σ = 35405989871616. Its totient is φ = 3254111760000.

The previous prime is 12220000220059. The next prime is 12220000220107. The reversal of 12220000220100 is 102200002221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12220000220107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 735825997 + ... + 735842603.

It is an arithmetic number, because the mean of its divisors is an integer number (245874929664).

Almost surely, 212220000220100 is an apocalyptic number.

12220000220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220000220100 is an abundant number, since it is smaller than the sum of its proper divisors (23185989651516).

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

12220000220100 is a wasteful number, since it uses less digits than its factorization.

12220000220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19906 (or 19899 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12220000220100 its reverse (102200002221), we get a palindrome (12322200222321).

The spelling of 12220000220100 in words is "twelve trillion, two hundred twenty billion, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1151 2131 2302 3453 4262 4604 5755 6393 6906 8524 10655 11510 12786 13812 16607 17265 21310 23020 25572 28775 31965 33214 34530 42620 49821 53275 57550 63930 66428 69060 83035 86325 99642 106550 115100 127860 159825 166070 172650 199284 213100 249105 319650 332140 345300 415175 498210 639300 830350 996420 1245525 1660700 2452781 2491050 4905562 4982100 7358343 9811124 12263905 14716686 19114657 24527810 29433372 35389517 36791715 38229314 49055620 57343971 61319525 70779034 73583430 76458628 95573285 106168551 114687942 122639050 141558068 147166860 176947585 183958575 191146570 212337102 229375884 245278100 286719855 353895170 367917150 382293140 424674204 477866425 530842755 573439710 707790340 735834300 884737925 955732850 1061685510 1146879420 1433599275 1769475850 1911465700 2123371020 2654213775 2867198550 3538951700 5308427550 5734397100 10616855100 40733334067 81466668134 122200002201 162933336268 203666670335 244400004402 407333340670 488800008804 611000011005 814666681340 1018333351675 1222000022010 2036666703350 2444000044020 3055000055025 4073333406700 6110000110050 12220000220100