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12200234430240 = 253258472385021
BaseRepresentation
bin1011000110001001011010…
…1000111010111100100000
31121012022221022111002010100
42301202112220322330200
53044342040003231430
641540413232502400
72366303116413423
oct261422650727440
947168838432110
1012200234430240
1139840aa3049aa
1214505a19aaa00
136a662845c67c
143026ccc859ba
15162551c50960
hexb1896a3af20

12200234430240 has 72 divisors (see below), whose sum is σ = 41633299998108. Its totient is φ = 3253395847680.

The previous prime is 12200234430239. The next prime is 12200234430247. The reversal of 12200234430240 is 4203443200221.

12200234430240 is a `hidden beast` number, since 1 + 2 + 200 + 2 + 3 + 4 + 430 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12189287411856 + 10947018384 = 3491316^2 + 104628^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12200234430247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4236191071 + ... + 4236193950.

Almost surely, 212200234430240 is an apocalyptic number.

12200234430240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200234430240 is an abundant number, since it is smaller than the sum of its proper divisors (29433065567868).

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

12200234430240 is a wasteful number, since it uses less digits than its factorization.

12200234430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8472385042 (or 8472385031 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12200234430240 its reverse (4203443200221), we get a palindrome (16403677630461).

The spelling of 12200234430240 in words is "twelve trillion, two hundred billion, two hundred thirty-four million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8472385021 16944770042 25417155063 33889540084 42361925105 50834310126 67779080168 76251465189 84723850210 101668620252 127085775315 135558160336 152502930378 169447700420 203337240504 254171550630 271116320672 305005860756 338895400840 381257325945 406674481008 508343101260 610011721512 677790801680 762514651890 813348962016 1016686202520 1220023443024 1355581603360 1525029303780 2033372405040 2440046886048 3050058607560 4066744810080 6100117215120 12200234430240