Search a number
-
+
1012220220000 = 2535411972163
BaseRepresentation
bin11101011101011010000…
…01101101001001100000
310120202201100220220212210
432232231001231021200
5113041011334020000
62053001344122120
7133062521623413
oct16565501551140
93522640826783
101012220220000
11360309a20070
12144212606340
13745b4c46c52
1436dc53cbb7a
151b4e44d7350
hexebad06d260

1012220220000 has 720 divisors, whose sum is σ = 3682308434112. Its totient is φ = 241367040000.

The previous prime is 1012220219987. The next prime is 1012220220013. The reversal of 1012220220000 is 220222101.

It is an interprime number because it is at equal distance from previous prime (1012220219987) and next prime (1012220220013).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 119 ways as a sum of consecutive naturals, for example, 6209939919 + ... + 6209940081.

Almost surely, 21012220220000 is an apocalyptic number.

1012220220000 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 1012220220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841154217056).

1012220220000 is an abundant number, since it is smaller than the sum of its proper divisors (2670088214112).

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

1012220220000 is an equidigital number, since it uses as much as digits as its factorization.

1012220220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1012220220000 its reverse (220222101), we get a palindrome (1012440442101).

The spelling of 1012220220000 in words is "one trillion, twelve billion, two hundred twenty million, two hundred twenty thousand".