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420121212 = 22375001443
BaseRepresentation
bin11001000010101…
…000101001111100
31002021112100221220
4121002220221330
51330022334322
6105404353340
713260654120
oct3102505174
91067470856
10420121212
111a6169315
12b8845850
1369067c44
143db21580
1526d3a55c
hex190a8a7c

420121212 has 24 divisors (see below), whose sum is σ = 1120323456. Its totient is φ = 120034608.

The previous prime is 420121171. The next prime is 420121249. The reversal of 420121212 is 212121024.

420121212 is a modest number, since divided by 121212 gives 420 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 420121191 and 420121200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2500638 + ... + 2500805.

It is an arithmetic number, because the mean of its divisors is an integer number (46680144).

Almost surely, 2420121212 is an apocalyptic number.

420121212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420121212 is an abundant number, since it is smaller than the sum of its proper divisors (700202244).

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

420121212 is a wasteful number, since it uses less digits than its factorization.

420121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001457 (or 5001455 counting only the distinct ones).

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

The square root of 420121212 is about 20496.8585885740. The cubic root of 420121212 is about 748.9592747448.

Adding to 420121212 its reverse (212121024), we get a palindrome (632242236).

The spelling of 420121212 in words is "four hundred twenty million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 5001443 10002886 15004329 20005772 30008658 35010101 60017316 70020202 105030303 140040404 210060606 420121212