Search a number
-
+
1220100112000 = 2753711290031
BaseRepresentation
bin10001110000010011101…
…000100011111010000000
311022122021212121121002001
4101300103220203322000
5124442231112041000
62332301203433344
7154102134556450
oct21602350437200
94278255547061
101220100112000
11430494783800
12178569085854
138b0939450c3
14430a5c2dd60
1521b0e62e46a
hex11c13a23e80

1220100112000 has 384 divisors, whose sum is σ = 3810687229440. Its totient is φ = 380286720000.

The previous prime is 1220100111983. The next prime is 1220100112013. The reversal of 1220100112000 is 2110010221.

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 47 ways as a sum of consecutive naturals, for example, 13506985 + ... + 13597015.

It is an arithmetic number, because the mean of its divisors is an integer number (9923664660).

Almost surely, 21220100112000 is an apocalyptic number.

1220100112000 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 1220100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905343614720).

1220100112000 is an abundant number, since it is smaller than the sum of its proper divisors (2590587117440).

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

1220100112000 is an equidigital number, since it uses as much as digits as its factorization.

1220100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90089 (or 90056 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1220100112000 its reverse (2110010221), we get a palindrome (1222210122221).

The spelling of 1220100112000 in words is "one trillion, two hundred twenty billion, one hundred million, one hundred twelve thousand".