Search a number
-
+
1220212211020 = 22511831014631429
BaseRepresentation
bin10001110000011010010…
…100001011110101001100
311022122120200112211000121
4101300122110023311030
5124442443311223040
62332320250234324
7154104665442655
oct21603224136514
94278520484017
101220212211020
11430541a89420
1217859a7259a4
138b0b0c3399a
14430b6a9052c
1521b193c3c4a
hex11c1a50bd4c

1220212211020 has 192 divisors, whose sum is σ = 2865259837440. Its totient is φ = 432786816000.

The previous prime is 1220212211017. The next prime is 1220212211033. The reversal of 1220212211020 is 201122120221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1220212210985 and 1220212211003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 853891666 + ... + 853893094.

It is an arithmetic number, because the mean of its divisors is an integer number (14923228320).

Almost surely, 21220212211020 is an apocalyptic number.

1220212211020 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 1220212211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432629918720).

1220212211020 is an abundant number, since it is smaller than the sum of its proper divisors (1645047626420).

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

1220212211020 is a wasteful number, since it uses less digits than its factorization.

1220212211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1220212211020 its reverse (201122120221), we get a palindrome (1421334331241).

The spelling of 1220212211020 in words is "one trillion, two hundred twenty billion, two hundred twelve million, two hundred eleven thousand, twenty".