Search a number
-
+
1200122200960 = 2755473428137
BaseRepresentation
bin10001011101101100110…
…110111000001110000000
311020201201120122120011221
4101131230312320032000
5124130322240412320
62315154543444424
7152464101252034
oct21355466701600
94221646576157
101200122200960
11422a72771521
121747125b6714
138922ba02677
144212c8581c4
15213407c83aa
hex1176cdb8380

1200122200960 has 64 divisors (see below), whose sum is σ = 2874288024720. Its totient is φ = 479171137536.

The previous prime is 1200122200931. The next prime is 1200122200969. The reversal of 1200122200960 is 690022210021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200122200969) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1363989 + ... + 2064148.

Almost surely, 21200122200960 is an apocalyptic number.

1200122200960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200122200960 is an abundant number, since it is smaller than the sum of its proper divisors (1674165823760).

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

1200122200960 is an equidigital number, since it uses as much as digits as its factorization.

1200122200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428703 (or 3428691 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 1200122200960 its reverse (690022210021), we get a palindrome (1890144410981).

The spelling of 1200122200960 in words is "one trillion, two hundred billion, one hundred twenty-two million, two hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 547 640 1094 2188 2735 4376 5470 8752 10940 17504 21880 35008 43760 70016 87520 175040 350080 3428137 6856274 13712548 17140685 27425096 34281370 54850192 68562740 109700384 137125480 219400768 274250960 438801536 548501920 1097003840 1875190939 2194007680 3750381878 7500763756 9375954695 15001527512 18751909390 30003055024 37503818780 60006110048 75007637560 120012220096 150015275120 240024440192 300030550240 600061100480 1200122200960