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122124012 = 22310319871
BaseRepresentation
bin1110100011101…
…11011011101100
322111210112122120
413101313123230
5222230432022
620041312540
73012015453
oct721673354
9274715576
10122124012
1162a3263a
1234a95750
131c3bb93a
141230db9a
15aac4d5c
hex74776ec

122124012 has 24 divisors (see below), whose sum is σ = 285261312. Its totient is φ = 40664400.

The previous prime is 122124011. The next prime is 122124029. The reversal of 122124012 is 210421221.

It is a super-2 number, since 2×1221240122 = 29828548613952288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122123982 and 122124000.

It is not an unprimeable number, because it can be changed into a prime (122124011) 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 7 ways as a sum of consecutive naturals, for example, 7437 + ... + 17307.

It is an arithmetic number, because the mean of its divisors is an integer number (11885888).

Almost surely, 2122124012 is an apocalyptic number.

122124012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122124012 is an abundant number, since it is smaller than the sum of its proper divisors (163137300).

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

122124012 is a wasteful number, since it uses less digits than its factorization.

122124012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10909 (or 10907 counting only the distinct ones).

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

The square root of 122124012 is about 11050.9733507958. The cubic root of 122124012 is about 496.1355584649.

Adding to 122124012 its reverse (210421221), we get a palindrome (332545233).

The spelling of 122124012 in words is "one hundred twenty-two million, one hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 1031 2062 3093 4124 6186 9871 12372 19742 29613 39484 59226 118452 10177001 20354002 30531003 40708004 61062006 122124012