Search a number
-
+
1220021200000 = 275523132611
BaseRepresentation
bin10001110000001110111…
…011100010010010000000
311022122002101010110011101
4101300032323202102000
5124442100411400000
62332245304224144
7154100156044351
oct21601673422200
94278071113141
101220021200000
11430454185a79
1217854676b054
138b0804a6005
144309956bd28
1521b07742e6a
hex11c0eee2480

1220021200000 has 192 divisors, whose sum is σ = 3170052728640. Its totient is φ = 466787200000.

The previous prime is 1220021199973. The next prime is 1220021200009. The reversal of 1220021200000 is 21200221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1220021200000.

It is not an unprimeable number, because it can be changed into a prime (1220021200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9133695 + ... + 9266305.

It is an arithmetic number, because the mean of its divisors is an integer number (16510691295).

Almost surely, 21220021200000 is an apocalyptic number.

1220021200000 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 1220021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585026364320).

1220021200000 is an abundant number, since it is smaller than the sum of its proper divisors (1950031528640).

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

1220021200000 is an frugal number, since it uses more digits than its factorization.

1220021200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132673 (or 132641 counting only the distinct ones).

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

Adding to 1220021200000 its reverse (21200221), we get a palindrome (1220042400221).

The spelling of 1220021200000 in words is "one trillion, two hundred twenty billion, twenty-one million, two hundred thousand".