Search a number
-
+
1222001002000 = 2453611000501
BaseRepresentation
bin10001110010000100111…
…011111000011000010000
311022211012100110210221101
4101302010323320120100
5130010124224031000
62333213550234144
7154200216064012
oct21620473703020
94284170423841
101222001002000
1143127a787579
121789b97b5954
138b3076caa9c
144320648a1b2
1521bc1465e6a
hex11c84ef8610

1222001002000 has 40 divisors (see below), whose sum is σ = 2954798427672. Its totient is φ = 488800400000.

The previous prime is 1222001001997. The next prime is 1222001002007. The reversal of 1222001002000 is 2001002221.

It can be written as a sum of positive squares in 4 ways, for example, as 257645577744 + 964355424256 = 507588^2 + 982016^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (1222001002007) by changing a digit.

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, 305498251 + ... + 305502250.

Almost surely, 21222001002000 is an apocalyptic number.

1222001002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222001002000 is an abundant number, since it is smaller than the sum of its proper divisors (1732797425672).

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

1222001002000 is an equidigital number, since it uses as much as digits as its factorization.

1222001002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611000524 (or 611000508 counting only the distinct ones).

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

Adding to 1222001002000 its reverse (2001002221), we get a palindrome (1224002004221).

The spelling of 1222001002000 in words is "one trillion, two hundred twenty-two billion, one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 611000501 1222001002 2444002004 3055002505 4888004008 6110005010 9776008016 12220010020 15275012525 24440020040 30550025050 48880040080 61100050100 76375062625 122200100200 152750125250 244400200400 305500250500 611000501000 1222001002000