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4212122424 = 2335317531889
BaseRepresentation
bin1111101100001111…
…1110001100111000
3101212112211222201020
43323003332030320
532111300404144
61533544222440
7206244310206
oct37303761470
911775758636
104212122424
1118716a6a14
1299676aa20
13521861643
142bd5b0076
15199bc6419
hexfb0fe338

4212122424 has 64 divisors (see below), whose sum is σ = 10740794400. Its totient is φ = 1376034816.

The previous prime is 4212122423. The next prime is 4212122443. The reversal of 4212122424 is 4242212124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4212122394 and 4212122403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212122423) 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, 2228872 + ... + 2230760.

Almost surely, 24212122424 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 4212122424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370397200).

4212122424 is an abundant number, since it is smaller than the sum of its proper divisors (6528671976).

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

4212122424 is a wasteful number, since it uses less digits than its factorization.

4212122424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3700 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 4212122424 is about 64900.8661267321. The cubic root of 4212122424 is about 1614.9794300658.

Adding to 4212122424 its reverse (4242212124), we get a palindrome (8454334548).

The spelling of 4212122424 in words is "four billion, two hundred twelve million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 1753 1889 3506 3778 5259 5667 7012 7556 10518 11334 14024 15112 21036 22668 42072 45336 92909 100117 185818 200234 278727 300351 371636 400468 557454 600702 743272 800936 1114908 1201404 2229816 2402808 3311417 6622834 9934251 13245668 19868502 26491336 39737004 79474008 175505101 351010202 526515303 702020404 1053030606 1404040808 2106061212 4212122424