Search a number
-
+
1220001001000 = 2353193112971597
BaseRepresentation
bin10001110000001101101…
…110011110111000101000
311022122000222010020100021
4101300031232132320220
5124442030224013000
62332243303250224
7154066522256215
oct21601556367050
94278028106307
101220001001000
1143044383a191
1217853ba49974
138b079253142
14430969d0b0c
1521b05aa311a
hex11c0db9ee28

1220001001000 has 256 divisors, whose sum is σ = 3106327910400. Its totient is φ = 446777856000.

The previous prime is 1220001000989. The next prime is 1220001001027. The reversal of 1220001001000 is 1001000221.

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, 763932202 + ... + 763933798.

It is an arithmetic number, because the mean of its divisors is an integer number (12134093400).

Almost surely, 21220001001000 is an apocalyptic number.

1220001001000 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 1220001001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553163955200).

1220001001000 is an abundant number, since it is smaller than the sum of its proper divisors (1886326909400).

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

1220001001000 is a wasteful number, since it uses less digits than its factorization.

1220001001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1220001001000 its reverse (1001000221), we get a palindrome (1221002001221).

The spelling of 1220001001000 in words is "one trillion, two hundred twenty billion, one million, one thousand".