Search a number
-
+
1200222121120 = 255111180157787
BaseRepresentation
bin10001011101110010110…
…100000010110010100000
311020201222112200000212121
4101131302310002302200
5124131023330333440
62315212513234024
7152466423462331
oct21356264026240
94221875600777
101200222121120
11423014108a70
1217473bb62914
1389246618a19
144213bc28288
152134946434a
hex11772d02ca0

1200222121120 has 96 divisors (see below), whose sum is σ = 3093615395136. Its totient is φ = 436399872000.

The previous prime is 1200222121069. The next prime is 1200222121121. The reversal of 1200222121120 is 211212220021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1200222121094 and 1200222121103.

It is not an unprimeable number, because it can be changed into a prime (1200222121121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20740867 + ... + 20798653.

It is an arithmetic number, because the mean of its divisors is an integer number (32225160366).

Almost surely, 21200222121120 is an apocalyptic number.

1200222121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200222121120 is an abundant number, since it is smaller than the sum of its proper divisors (1893393274016).

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

1200222121120 is a wasteful number, since it uses less digits than its factorization.

1200222121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69614 (or 69606 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1200222121120 its reverse (211212220021), we get a palindrome (1411434341141).

It can be divided in two parts, 12002 and 22121120, that added together give a palindrome (22133122).

The spelling of 1200222121120 in words is "one trillion, two hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 11801 23602 47204 57787 59005 94408 115574 118010 129811 188816 231148 236020 259622 288935 377632 462296 472040 519244 577870 635657 649055 924592 944080 1038488 1155740 1271314 1298110 1849184 1888160 2076976 2311480 2542628 2596220 3178285 4153952 4622960 5085256 5192440 6356570 9245920 10170512 10384880 12713140 20341024 20769760 25426280 50852560 101705120 681944387 1363888774 2727777548 3409721935 5455555096 6819443870 7501388257 10911110192 13638887740 15002776514 21822220384 27277775480 30005553028 37506941285 54555550960 60011106056 75013882570 109111101920 120022212112 150027765140 240044424224 300055530280 600111060560 1200222121120