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12220212101020 = 22571110178566363
BaseRepresentation
bin1011000111010011110101…
…1001101011111110011100
31121021020111120222220102221
42301310331121223332130
53100203443244213040
641553515443355124
72400611151000520
oct261647531537634
947236446886387
1012220212101020
113991621172720
121454438382aa4
136a8490319941
143036661d7d80
15162d20a5a74a
hexb1d3d66bf9c

12220212101020 has 96 divisors (see below), whose sum is σ = 32311517124096. Its totient is φ = 3771185376000.

The previous prime is 12220212101011. The next prime is 12220212101029. The reversal of 12220212101020 is 2010121202221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12220212101011) and next prime (12220212101029).

It is a junction number, because it is equal to n+sod(n) for n = 12220212100985 and 12220212101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220212101029) 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, 39127642 + ... + 39438721.

It is an arithmetic number, because the mean of its divisors is an integer number (336578303376).

Almost surely, 212220212101020 is an apocalyptic number.

12220212101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220212101020 is an abundant number, since it is smaller than the sum of its proper divisors (20091305023076).

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

12220212101020 is a wasteful number, since it uses less digits than its factorization.

12220212101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78566491 (or 78566489 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12220212101020 its reverse (2010121202221), we get a palindrome (14230333303241).

The spelling of 12220212101020 in words is "twelve trillion, two hundred twenty billion, two hundred twelve million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 155540 78566363 157132726 314265452 392831815 549964541 785663630 864229993 1099929082 1571327260 1728459986 2199858164 2749822705 3456919972 4321149965 5499645410 6049609951 7935202663 8642299930 10999290820 12099219902 15870405326 17284599860 24198439804 30248049755 31740810652 39676013315 55546418641 60496099510 79352026630 87287229293 111092837282 120992199020 158704053260 174574458586 222185674564 277732093205 349148917172 436436146465 555464186410 611010605051 872872292930 1110928372820 1222021210102 1745744585860 2444042420204 3055053025255 6110106050510 12220212101020