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12220000201220 = 2257521635326371
BaseRepresentation
bin1011000111010011000011…
…0001010110101000000100
31121021012221211021021120012
42301310300301112220010
53100203030022414340
641553442433525352
72400602665612040
oct261646061265004
947235854237505
1012220000201220
1139915225a2219
121454399413858
136a8458457146
14303645dd9020
15162d0c150565
hexb1d30c56a04

12220000201220 has 96 divisors (see below), whose sum is σ = 29390031933696. Its totient is φ = 4180855910400.

The previous prime is 12220000201217. The next prime is 12220000201223. The reversal of 12220000201220 is 2210200002221.

It is an interprime number because it is at equal distance from previous prime (12220000201217) and next prime (12220000201223).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12220000201195 and 12220000201204.

It is not an unprimeable number, because it can be changed into a prime (12220000201223) 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, 463374635 + ... + 463401005.

It is an arithmetic number, because the mean of its divisors is an integer number (306146165976).

Almost surely, 212220000201220 is an apocalyptic number.

12220000201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220000201220 is an abundant number, since it is smaller than the sum of its proper divisors (17170031732476).

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

12220000201220 is a wasteful number, since it uses less digits than its factorization.

12220000201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33261 (or 33259 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12220000201220 its reverse (2210200002221), we get a palindrome (14430200203441).

The spelling of 12220000201220 in words is "twelve trillion, two hundred twenty billion, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 521 1042 2084 2605 3647 5210 6353 7294 10420 12706 14588 18235 25412 26371 31765 36470 44471 52742 63530 72940 88942 105484 127060 131855 177884 184597 222355 263710 369194 444710 527420 738388 889420 922985 1845970 3309913 3691940 6619826 13239652 13739291 16549565 23169391 27478582 33099130 46338782 54957164 66198260 68696455 92677564 96175037 115846955 137392910 167534963 192350074 231693910 274785820 335069926 384700148 463387820 480875185 670139852 837674815 961750370 1172744741 1675349630 1923500740 2345489482 3350699260 4690978964 5863723705 11727447410 23454894820 87285715723 174571431446 349142862892 436428578615 611000010061 872857157230 1222000020122 1745714314460 2444000040244 3055000050305 6110000100610 12220000201220