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12302000221200 = 2435243673558371
BaseRepresentation
bin1011001100000100100001…
…0110100110110000010000
31121120001121112202220012020
42303001020112212300100
53103023444024034300
642055243314531440
72406535014360504
oct263011026466020
947501545686166
1012302000221200
113a13281459978
121468262b96b80
136b30c5a42421
143075c4636304
1516500aed78a0
hexb30485a6c10

12302000221200 has 240 divisors, whose sum is σ = 40925718848256. Its totient is φ = 3156416524800.

The previous prime is 12302000221183. The next prime is 12302000221241. The reversal of 12302000221200 is 212200020321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12302000221200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1678015 + ... + 5236385.

Almost surely, 212302000221200 is an apocalyptic number.

12302000221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302000221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20462859424128).

12302000221200 is an abundant number, since it is smaller than the sum of its proper divisors (28623718627056).

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

12302000221200 is a wasteful number, since it uses less digits than its factorization.

12302000221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558502 (or 3558491 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12302000221200 its reverse (212200020321), we get a palindrome (12514200241521).

The spelling of 12302000221200 in words is "twelve trillion, three hundred two billion, two hundred twenty-one thousand, two hundred".