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2120122200 = 2335272371949
BaseRepresentation
bin111111001011110…
…0111111101011000
312110202101100220110
41332113213331120
513320222402300
6550213324320
7103352512200
oct17627477530
95422340813
102120122200
11998832209
124b20366a0
1327a314aa1
14161807400
15c61de550
hex7e5e7f58

2120122200 has 288 divisors, whose sum is σ = 7856082000. Its totient is φ = 471260160.

The previous prime is 2120122189. The next prime is 2120122211. The reversal of 2120122200 is 22210212.

It is an interprime number because it is at equal distance from previous prime (2120122189) and next prime (2120122211).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1086826 + ... + 1088774.

Almost surely, 22120122200 is an apocalyptic number.

2120122200 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 2120122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928041000).

2120122200 is an abundant number, since it is smaller than the sum of its proper divisors (5735959800).

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

2120122200 is a wasteful number, since it uses less digits than its factorization.

2120122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2003 counting only the distinct ones).

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

The square root of 2120122200 is about 46044.7847209649. The cubic root of 2120122200 is about 1284.6563399408.

Adding to 2120122200 its reverse (22210212), we get a palindrome (2142332412).

The spelling of 2120122200 in words is "two billion, one hundred twenty million, one hundred twenty-two thousand, two hundred".