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2120012220 = 2235101349837
BaseRepresentation
bin111111001011100…
…1101000110111100
312110202011210001010
41332113031012330
513320210342340
6550211115220
7103351543434
oct17627150674
95422153033
102120012220
11998767617
124b1ba2b10
1327a2a6a01
141617b92c4
15c61bbb80
hex7e5cd1bc

2120012220 has 48 divisors (see below), whose sum is σ = 5994823968. Its totient is φ = 559737600.

The previous prime is 2120012203. The next prime is 2120012227. The reversal of 2120012220 is 222100212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120012196 and 2120012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120012227) 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 15 ways as a sum of consecutive naturals, for example, 168859 + ... + 180978.

It is an arithmetic number, because the mean of its divisors is an integer number (124892166).

Almost surely, 22120012220 is an apocalyptic number.

2120012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120012220 is an abundant number, since it is smaller than the sum of its proper divisors (3874811748).

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

2120012220 is a wasteful number, since it uses less digits than its factorization.

2120012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349950 (or 349948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2120012220 is about 46043.5904334143. The cubic root of 2120012220 is about 1284.6341259780.

Adding to 2120012220 its reverse (222100212), we get a palindrome (2342112432).

The spelling of 2120012220 in words is "two billion, one hundred twenty million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 349837 699674 1049511 1399348 1749185 2099022 3498370 4198044 5247555 6996740 10495110 20990220 35333537 70667074 106000611 141334148 176667685 212001222 353335370 424002444 530003055 706670740 1060006110 2120012220