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2120122320 = 243542120983
BaseRepresentation
bin111111001011110…
…0111111111010000
312110202101101001220
41332113213333100
513320222403240
6550213325040
7103352512431
oct17627477720
95422341056
102120122320
11998832308
124b2036780
1327a314b64
14161807488
15c61de5d0
hex7e5e7fd0

2120122320 has 80 divisors (see below), whose sum is σ = 6588304512. Its totient is φ = 563996160.

The previous prime is 2120122261. The next prime is 2120122321. The reversal of 2120122320 is 232210212.

It is a happy number.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120122320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120122321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90549 + ... + 111531.

Almost surely, 22120122320 is an apocalyptic number.

2120122320 is a gapful number since it is divisible by the number (20) 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 2120122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294152256).

2120122320 is an abundant number, since it is smaller than the sum of its proper divisors (4468182192).

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

2120122320 is a wasteful number, since it uses less digits than its factorization.

2120122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21420 (or 21414 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2120122320 is about 46044.7860240440. The cubic root of 2120122320 is about 1284.6563641782.

Adding to 2120122320 its reverse (232210212), we get a palindrome (2352332532).

The spelling of 2120122320 in words is "two billion, one hundred twenty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 421 842 1263 1684 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 16840 20208 20983 25260 33680 41966 50520 62949 83932 101040 104915 125898 167864 209830 251796 314745 335728 419660 503592 629490 839320 1007184 1258980 1678640 2517960 5035920 8833843 17667686 26501529 35335372 44169215 53003058 70670744 88338430 106006116 132507645 141341488 176676860 212012232 265015290 353353720 424024464 530030580 706707440 1060061160 2120122320