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12220314875820 = 22335117133193201
BaseRepresentation
bin1011000111010100001110…
…0001101111011110101100
31121021020202202101101222000
42301311003201233132230
53100204201102011240
641553533554252300
72400613536400512
oct261650341573654
947236682341860
1012220314875820
113991674189977
121454466887090
136a84a86c242c
14303675b0c4b2
15162d29aac430
hexb1d4386f7ac

12220314875820 has 96 divisors (see below), whose sum is σ = 38019278754240. Its totient is φ = 3258705945600.

The previous prime is 12220314875819. The next prime is 12220314875837. The reversal of 12220314875820 is 2857841302221.

12220314875820 is a `hidden beast` number, since 1 + 2 + 2 + 20 + 3 + 1 + 48 + 7 + 582 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63155220 + ... + 63348420.

It is an arithmetic number, because the mean of its divisors is an integer number (396034153690).

Almost surely, 212220314875820 is an apocalyptic number.

12220314875820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220314875820 is an abundant number, since it is smaller than the sum of its proper divisors (25798963878420).

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

12220314875820 is a wasteful number, since it uses less digits than its factorization.

12220314875820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310352 (or 310344 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12220314875820 in words is "twelve trillion, two hundred twenty billion, three hundred fourteen million, eight hundred seventy-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 117133 193201 234266 351399 386402 468532 579603 585665 702798 772804 966005 1054197 1159206 1171330 1405596 1738809 1756995 1932010 2108394 2318412 2342660 2898015 3162591 3477618 3513990 3864020 4216788 5216427 5270985 5796030 6325182 6955236 7027980 8694045 10432854 10541970 11592060 12650364 15812955 17388090 20865708 21083940 26082135 31625910 34776180 52164270 63251820 104328540 22630212733 45260425466 67890638199 90520850932 113151063665 135781276398 203671914597 226302127330 271562552796 339453190995 407343829194 452604254660 611015743791 678906381990 814687658388 1018359572985 1222031487582 1357812763980 2036719145970 2444062975164 3055078718955 4073438291940 6110157437910 12220314875820