Search a number
-
+
1200002210000 = 245411101108011
BaseRepresentation
bin10001011101100101101…
…101001001100011010000
311020201102012212101112022
4101131211231021203100
5124130101031210000
62315135015551012
7152461113326126
oct21354555114320
94221365771468
101200002210000
11422a10a66540
1217469a38b468
138920cbac8b9
144211a941916
1521334ec5585
hex11765b498d0

1200002210000 has 200 divisors, whose sum is σ = 3200856123168. Its totient is φ = 432040000000.

The previous prime is 1200002209993. The next prime is 1200002210051. The reversal of 1200002210000 is 122000021.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1200002210000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11055995 + ... + 11164005.

Almost surely, 21200002210000 is an apocalyptic number.

1200002210000 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 1200002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600428061584).

1200002210000 is an abundant number, since it is smaller than the sum of its proper divisors (2000853913168).

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

1200002210000 is a wasteful number, since it uses less digits than its factorization.

1200002210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108151 (or 108130 counting only the distinct ones).

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

Adding to 1200002210000 its reverse (122000021), we get a palindrome (1200124210021).

The spelling of 1200002210000 in words is "one trillion, two hundred billion, two million, two hundred ten thousand".