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122012420 = 22597109577
BaseRepresentation
bin1110100010111…
…00001100000100
322111120212120112
413101130030010
5222213344140
620035052152
73011042225
oct721341404
9274525515
10122012420
1162966812
1234a41058
131c37cbca
14122c124c
15aaa1c65
hex745c304

122012420 has 48 divisors (see below), whose sum is σ = 261695280. Its totient is φ = 47775744.

The previous prime is 122012327. The next prime is 122012437. The reversal of 122012420 is 24210221.

It can be written as a sum of positive squares in 8 ways, for example, as 14807104 + 107205316 = 3848^2 + 10354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122012395 and 122012404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211172 + ... + 211748.

It is an arithmetic number, because the mean of its divisors is an integer number (5451985).

Almost surely, 2122012420 is an apocalyptic number.

122012420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012420 is an abundant number, since it is smaller than the sum of its proper divisors (139682860).

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

122012420 is a wasteful number, since it uses less digits than its factorization.

122012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 122012420 is about 11045.9232298618. The cubic root of 122012420 is about 495.9843961879.

Adding to 122012420 its reverse (24210221), we get a palindrome (146222641).

The spelling of 122012420 in words is "one hundred twenty-two million, twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 97 109 194 218 388 436 485 545 577 970 1090 1154 1940 2180 2308 2885 5770 10573 11540 21146 42292 52865 55969 62893 105730 111938 125786 211460 223876 251572 279845 314465 559690 628930 1119380 1257860 6100621 12201242 24402484 30503105 61006210 122012420