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12123120223200 = 2535272103087757
BaseRepresentation
bin1011000001101010001001…
…0001100100001111100000
31120220221220002111110212010
42300122202101210033200
53042111122234120300
641441141243432520
72360603135441400
oct260324221441740
946827802443763
1012123120223200
113954428353888
121439660525740
1369c289162b6c
142dca954a4800
1516053bcb6a50
hexb06a24643e0

12123120223200 has 216 divisors, whose sum is σ = 45903329233272. Its totient is φ = 2770998881280.

The previous prime is 12123120223163. The next prime is 12123120223211. The reversal of 12123120223200 is 232202132121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51426279 + ... + 51661478.

It is an arithmetic number, because the mean of its divisors is an integer number (212515413117).

Almost surely, 212123120223200 is an apocalyptic number.

12123120223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123120223200 is an abundant number, since it is smaller than the sum of its proper divisors (33780209010072).

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

12123120223200 is a wasteful number, since it uses less digits than its factorization.

12123120223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103087794 (or 103087774 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12123120223200 its reverse (232202132121), we get a palindrome (12355322355321).

The spelling of 12123120223200 in words is "twelve trillion, one hundred twenty-three billion, one hundred twenty million, two hundred twenty-three thousand, two hundred".