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1221200143020 = 223251113157302189
BaseRepresentation
bin10001110001010101001…
…100110110001010101100
311022202010112111221221200
4101301111030312022230
5130002004214034040
62333002301125500
7154141322642124
oct21612514661254
94282115457850
101221200143020
114309a970a350
12178815559890
138b20a806c30
144316bd79c84
1521b75ebe630
hex11c553362ac

1221200143020 has 288 divisors, whose sum is σ = 4379646922560. Its totient is φ = 271534049280.

The previous prime is 1221200143019. The next prime is 1221200143021. The reversal of 1221200143020 is 203410021221.

It is a happy number.

1221200143020 is a `hidden beast` number, since 1 + 2 + 212 + 0 + 0 + 1 + 430 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1221200143019) and next prime (1221200143021).

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 = 1221200142984 and 1221200143002.

It is not an unprimeable number, because it can be changed into a prime (1221200143021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3890086 + ... + 4192274.

It is an arithmetic number, because the mean of its divisors is an integer number (15207107370).

Almost surely, 21221200143020 is an apocalyptic number.

1221200143020 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 1221200143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189823461280).

1221200143020 is an abundant number, since it is smaller than the sum of its proper divisors (3158446779540).

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

1221200143020 is a wasteful number, since it uses less digits than its factorization.

1221200143020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302385 (or 302380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1221200143020 its reverse (203410021221), we get a palindrome (1424610164241).

The spelling of 1221200143020 in words is "one trillion, two hundred twenty-one billion, two hundred million, one hundred forty-three thousand, twenty".