Search a number
-
+
1220001002000 = 245311417511801
BaseRepresentation
bin10001110000001101101…
…110011111001000010000
311022122000222010021201022
4101300031232133020100
5124442030224031000
62332243303255012
7154066522262144
oct21601556371020
94278028107638
101220001002000
1143044383aa10
1217853ba4a468
138b079253731
14430969d1224
1521b05aa3585
hex11c0db9f210

1220001002000 has 320 divisors, whose sum is σ = 3302854603776. Its totient is φ = 432000000000.

The previous prime is 1220001001951. The next prime is 1220001002053. The reversal of 1220001002000 is 2001000221.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 677401100 + ... + 677402900.

Almost surely, 21220001002000 is an apocalyptic number.

1220001002000 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 1220001002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651427301888).

1220001002000 is an abundant number, since it is smaller than the sum of its proper divisors (2082853601776).

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

1220001002000 is a wasteful number, since it uses less digits than its factorization.

1220001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1220001002000 its reverse (2001000221), we get a palindrome (1222002002221).

The spelling of 1220001002000 in words is "one trillion, two hundred twenty billion, one million, two thousand".