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1221200230320 = 243357225514523
BaseRepresentation
bin10001110001010101001…
…101001011011110110000
311022202010112200101201000
4101301111031023132300
5130002004224332240
62333002303042000
7154141323454500
oct21612515133660
94282115611630
101221200230320
114309a97699a4
121788155a0300
138b20a8378a5
144316bd9da00
1521b75eda430
hex11c5534b7b0

1221200230320 has 480 divisors, whose sum is σ = 4896108771840. Its totient is φ = 278960371200.

The previous prime is 1221200230297. The next prime is 1221200230357. The reversal of 1221200230320 is 230320021221.

1221200230320 is a `hidden beast` number, since 122 + 1 + 200 + 23 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1221200230293 and 1221200230302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 269995579 + ... + 270000101.

It is an arithmetic number, because the mean of its divisors is an integer number (10200226608).

Almost surely, 21221200230320 is an apocalyptic number.

1221200230320 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 1221200230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448054385920).

1221200230320 is an abundant number, since it is smaller than the sum of its proper divisors (3674908541520).

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

1221200230320 is a wasteful number, since it uses less digits than its factorization.

1221200230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7110 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1221200230320 its reverse (230320021221), we get a palindrome (1451520251541).

The spelling of 1221200230320 in words is "one trillion, two hundred twenty-one billion, two hundred million, two hundred thirty thousand, three hundred twenty".