Search a number
-
+
1222002021200 = 245211172735009
BaseRepresentation
bin10001110010000100111…
…111110001001101010000
311022211012102101121000112
4101302010333301031100
5130010130004134300
62333214024140452
7154200230540312
oct21620477611520
94284172347015
101222002021200
11431280313294
121789ba007728
138b30799696c
14432066737b2
1521bc15b7e35
hex11c84ff1350

1222002021200 has 60 divisors (see below), whose sum is σ = 2938489273980. Its totient is φ = 488363028480.

The previous prime is 1222002021197. The next prime is 1222002021269. The reversal of 1222002021200 is 21202002221.

It can be written as a sum of positive squares in 6 ways, for example, as 124846328896 + 1097155692304 = 353336^2 + 1047452^2 .

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 11 ways as a sum of consecutive naturals, for example, 920705 + ... + 1814304.

It is an arithmetic number, because the mean of its divisors is an integer number (48974821233).

Almost surely, 21222002021200 is an apocalyptic number.

1222002021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222002021200 is an abundant number, since it is smaller than the sum of its proper divisors (1716487252780).

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

1222002021200 is a wasteful number, since it uses less digits than its factorization.

1222002021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736144 (or 2736133 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1222002021200 its reverse (21202002221), we get a palindrome (1243204023421).

It can be divided in two parts, 1222002021 and 200, that added together give a palindrome (1222002221).

The spelling of 1222002021200 in words is "one trillion, two hundred twenty-two billion, two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1117 2234 4468 5585 8936 11170 17872 22340 27925 44680 55850 89360 111700 223400 446800 2735009 5470018 10940036 13675045 21880072 27350090 43760144 54700180 68375225 109400360 136750450 218800720 273500900 547001800 1094003600 3055005053 6110010106 12220020212 15275025265 24440040424 30550050530 48880080848 61100101060 76375126325 122200202120 152750252650 244400404240 305500505300 611001010600 1222002021200