Search a number
-
+
1200021012 = 2232731792551
BaseRepresentation
bin100011110000110…
…1101111000010100
310002122001101100200
41013201231320110
54424201133022
6315024340500
741511003351
oct10741557024
93078041320
101200021012
11566420603
12295a74730
13161800c08
14b5537628
1570541bac
hex4786de14

1200021012 has 72 divisors (see below), whose sum is σ = 3093330240. Its totient is φ = 392169600.

The previous prime is 1200020999. The next prime is 1200021013. The reversal of 1200021012 is 2101200021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200020985 and 1200021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200021013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469137 + ... + 471687.

It is an arithmetic number, because the mean of its divisors is an integer number (42962920).

Almost surely, 21200021012 is an apocalyptic number.

1200021012 is a gapful number since it is divisible by the number (12) 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 1200021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546665120).

1200021012 is an abundant number, since it is smaller than the sum of its proper divisors (1893309228).

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

1200021012 is a wasteful number, since it uses less digits than its factorization.

1200021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1200021012 is about 34641.3194321463. The cubic root of 1200021012 is about 1062.6647715303.

Adding to 1200021012 its reverse (2101200021), we get a palindrome (3301221033).

The spelling of 1200021012 in words is "one billion, two hundred million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 179 219 292 358 438 537 657 716 876 1074 1314 1611 2148 2551 2628 3222 5102 6444 7653 10204 13067 15306 22959 26134 30612 39201 45918 52268 78402 91836 117603 156804 186223 235206 372446 456629 470412 558669 744892 913258 1117338 1369887 1676007 1826516 2234676 2739774 3352014 4109661 5479548 6704028 8219322 16438644 33333917 66667834 100001751 133335668 200003502 300005253 400007004 600010506 1200021012