Search a number
-
+
1222122001000 = 23531222122001
BaseRepresentation
bin10001110010001100001…
…001011101001001101000
311022211111210011012100211
4101302030021131021220
5130010401213013000
62333233551510504
7154203215415535
oct21621411351150
94284453135324
101222122001000
1143133201094a
12178a32228434
138b3267b4624
1443218585d8c
1521bcbdb77ba
hex11c8c25d268

1222122001000 has 32 divisors (see below), whose sum is σ = 2859765484680. Its totient is φ = 488848800000.

The previous prime is 1222122000997. The next prime is 1222122001021. The reversal of 1222122001000 is 1002212221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 631551268804 + 590570732196 = 794702^2 + 768486^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 611060001 + ... + 611062000.

Almost surely, 21222122001000 is an apocalyptic number.

1222122001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222122001000 is an abundant number, since it is smaller than the sum of its proper divisors (1637643483680).

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

1222122001000 is a wasteful number, since it uses less digits than its factorization.

1222122001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222122022 (or 1222122008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1222122001000 its reverse (1002212221), we get a palindrome (1223124213221).

It can be divided in two parts, 122212 and 2001000, that added together give a palindrome (2123212).

The spelling of 1222122001000 in words is "one trillion, two hundred twenty-two billion, one hundred twenty-two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1222122001 2444244002 4888488004 6110610005 9776976008 12221220010 24442440020 30553050025 48884880040 61106100050 122212200100 152765250125 244424400200 305530500250 611061000500 1222122001000