Search a number
-
+
1211120000 = 275415139
BaseRepresentation
bin100100000110000…
…0011100110000000
310010101221021022022
41020030003212000
54440021320000
6320102301012
742004231046
oct11014034600
93111837268
101211120000
11571711422
12299727768
13163bb8a6c
14b6bc6396
15714d5585
hex48303980

1211120000 has 80 divisors (see below), whose sum is σ = 3015206700. Its totient is φ = 484416000.

The previous prime is 1211119999. The next prime is 1211120003. The reversal of 1211120000 is 211121.

It is a tau number, because it is divible by the number of its divisors (80).

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 1211120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 72431 + ... + 87569.

Almost surely, 21211120000 is an apocalyptic number.

1211120000 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 1211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507603350).

1211120000 is an abundant number, since it is smaller than the sum of its proper divisors (1804086700).

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

1211120000 is an frugal number, since it uses more digits than its factorization.

1211120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15173 (or 15146 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1211120000 is about 34801.1494063055. The cubic root of 1211120000 is about 1065.9309162321.

Adding to 1211120000 its reverse (211121), we get a palindrome (1211331121).

The spelling of 1211120000 in words is "one billion, two hundred eleven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 15139 16000 20000 30278 40000 60556 75695 80000 121112 151390 242224 302780 378475 484448 605560 756950 968896 1211120 1513900 1892375 1937792 2422240 3027800 3784750 4844480 6055600 7569500 9461875 9688960 12111200 15139000 18923750 24222400 30278000 37847500 48444800 60556000 75695000 121112000 151390000 242224000 302780000 605560000 1211120000