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1222432332240 = 243573133170913
BaseRepresentation
bin10001110010011110101…
…001010001100111010000
311022212022102002122210110
4101302132221101213100
5130012020134112430
62333324435201320
7154214004244410
oct21623651214720
94285272078713
101222432332240
11431481201349
12178aba146240
138b375b8b992
1443247888640
1521be92677b0
hex11c9ea519d0

1222432332240 has 320 divisors, whose sum is σ = 4484179279872. Its totient is φ = 269579059200.

The previous prime is 1222432332229. The next prime is 1222432332337. The reversal of 1222432332240 is 422332342221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1222432332198 and 1222432332207.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17203024 + ... + 17273936.

Almost surely, 21222432332240 is an apocalyptic number.

1222432332240 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 1222432332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242089639936).

1222432332240 is an abundant number, since it is smaller than the sum of its proper divisors (3261746947632).

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

1222432332240 is a wasteful number, since it uses less digits than its factorization.

1222432332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71298 (or 71292 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1222432332240 its reverse (422332342221), we get a palindrome (1644764674461).

The spelling of 1222432332240 in words is "one trillion, two hundred twenty-two billion, four hundred thirty-two million, three hundred thirty-two thousand, two hundred forty".