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4120114212 = 2232539912179
BaseRepresentation
bin1111010110010011…
…1111010000100100
3101122010201111011200
43311210333100210
531414222123322
61520500202500
7204046251534
oct36544772044
911563644150
104120114212
111824773875
1296b999430
13508788606
142b129d4c4
15191a9e8ac
hexf593f424

4120114212 has 72 divisors (see below), whose sum is σ = 10626819840. Its totient is φ = 1345481280.

The previous prime is 4120114211. The next prime is 4120114253. The reversal of 4120114212 is 2124110214.

4120114212 is a `hidden beast` number, since 41 + 201 + 1 + 421 + 2 = 666.

It is a super-2 number, since 2×41201142122 = 33950682239848761888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4120114211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889739 + ... + 1891917.

It is an arithmetic number, because the mean of its divisors is an integer number (147594720).

Almost surely, 24120114212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120114212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313409920).

4120114212 is an abundant number, since it is smaller than the sum of its proper divisors (6506705628).

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

4120114212 is a wasteful number, since it uses less digits than its factorization.

4120114212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4120114212 is about 64188.1158159359. The cubic root of 4120114212 is about 1603.1337296835.

Adding to 4120114212 its reverse (2124110214), we get a palindrome (6244224426).

The spelling of 4120114212 in words is "four billion, one hundred twenty million, one hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 991 1908 1982 2179 2973 3964 4358 5946 6537 8716 8919 11892 13074 17838 19611 26148 35676 39222 52523 78444 105046 115487 157569 210092 230974 315138 346461 461948 472707 630276 692922 945414 1039383 1385844 1890828 2078766 2159389 4157532 4318778 6478167 8637556 12956334 19434501 25912668 38869002 77738004 114447617 228895234 343342851 457790468 686685702 1030028553 1373371404 2060057106 4120114212