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2120412120 = 233517670101
BaseRepresentation
bin111111001100010…
…1110101111011000
312110202221002121020
41332120232233120
513320311141440
6550223442440
7103355130351
oct17630565730
95422832536
102120412120
11998a10012
124b2156420
1327a3b6a38
14161880d28
15c624a3d0
hex7e62ebd8

2120412120 has 32 divisors (see below), whose sum is σ = 6361236720. Its totient is φ = 565443200.

The previous prime is 2120412101. The next prime is 2120412127. The reversal of 2120412120 is 212140212.

It is a super-2 number, since 2×21204121202 = 8992295117285788800, which contains 22 as substring.

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 2120412120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120412127) 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, 8834931 + ... + 8835170.

Almost surely, 22120412120 is an apocalyptic number.

2120412120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120412120 is an abundant number, since it is smaller than the sum of its proper divisors (4240824600).

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

2120412120 is a wasteful number, since it uses less digits than its factorization.

2120412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17670115 (or 17670111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2120412120 is about 46047.9328526265. The cubic root of 2120412120 is about 1284.7148948346.

Adding to 2120412120 its reverse (212140212), we get a palindrome (2332552332).

The spelling of 2120412120 in words is "two billion, one hundred twenty million, four hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17670101 35340202 53010303 70680404 88350505 106020606 141360808 176701010 212041212 265051515 353402020 424082424 530103030 706804040 1060206060 2120412120