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2120110212 = 22311219313767
BaseRepresentation
bin111111001011110…
…0101000010000100
312110202100202110110
41332113211002010
513320222011322
6550213153020
7103352432223
oct17627450204
95422322413
102120110212
11998824200
124b202b770
1327a30c4ac
14161802cba
15c61dac0c
hex7e5e5084

2120110212 has 288 divisors, whose sum is σ = 6158602240. Its totient is φ = 564537600.

The previous prime is 2120110199. The next prime is 2120110219.

2120110212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21201102122 = 8989734622053369888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2120110219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31643403 + ... + 31643469.

Almost surely, 22120110212 is an apocalyptic number.

2120110212 is a gapful number since it is divisible by the number (22) 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 2120110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079301120).

2120110212 is an abundant number, since it is smaller than the sum of its proper divisors (4038492028).

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

2120110212 is a wasteful number, since it uses less digits than its factorization.

2120110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2120110212 is about 46044.6545431715. The cubic root of 2120110212 is about 1284.6539186198.

It can be divided in two parts, 21201 and 10212, that added together give a palindrome (31413).

The spelling of 2120110212 in words is "two billion, one hundred twenty million, one hundred ten thousand, two hundred twelve".