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220021120000 = 210541131253
BaseRepresentation
bin1100110011101001000…
…1111101110000000000
3210000220122112221221101
43030322101331300000
512101100401320000
6245024252104144
721616220443153
oct3147221756000
9700818487841
10220021120000
1185346205a70
1236784765054
13179951acc46
14a913103c9a
155acaeb2e6a
hex333a47dc00

220021120000 has 220 divisors, whose sum is σ = 599591862936. Its totient is φ = 80005120000.

The previous prime is 220021119977. The next prime is 220021120001. The reversal of 220021120000 is 21120022.

It is a tau number, because it is divible by the number of its divisors (220).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220021120001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7024374 + ... + 7055626.

Almost surely, 2220021120000 is an apocalyptic number.

220021120000 is a gapful number since it is divisible by the number (20) 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 220021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299795931468).

220021120000 is an abundant number, since it is smaller than the sum of its proper divisors (379570742936).

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

220021120000 is an equidigital number, since it uses as much as digits as its factorization.

220021120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31304 (or 31271 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220021120000 its reverse (21120022), we get a palindrome (220042240022).

The spelling of 220021120000 in words is "two hundred twenty billion, twenty-one million, one hundred twenty thousand".