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1220001220000 = 2554611019901
BaseRepresentation
bin10001110000001101101…
…111010100010110100000
311022122000222112100202101
4101300031233110112200
5124442030303020000
62332243312100144
7154066524160543
oct21601557242640
94278028470671
101220001220000
11430443979782
1217853bb34654
138b0792cba24
1443096a4a85a
1521b05ae7e6a
hex11c0dbd45a0

1220001220000 has 240 divisors, whose sum is σ = 3081104062344. Its totient is φ = 475200000000.

The previous prime is 1220001219991. The next prime is 1220001220019. The reversal of 1220001220000 is 221000221.

It can be written as a sum of positive squares in 20 ways, for example, as 179331922576 + 1040669297424 = 423476^2 + 1020132^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 123215050 + ... + 123224950.

Almost surely, 21220001220000 is an apocalyptic number.

1220001220000 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 1220001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540552031172).

1220001220000 is an abundant number, since it is smaller than the sum of its proper divisors (1861102842344).

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

1220001220000 is an equidigital number, since it uses as much as digits as its factorization.

1220001220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093 (or 10070 counting only the distinct ones).

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

Adding to 1220001220000 its reverse (221000221), we get a palindrome (1220222220221).

The spelling of 1220001220000 in words is "one trillion, two hundred twenty billion, one million, two hundred twenty thousand".