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122012256 = 2531270961
BaseRepresentation
bin1110100010111…
…00001001100000
322111120212100110
413101130021200
5222213343011
620035051320
73011041602
oct721341140
9274525313
10122012256
1162966683
1234a40b40
131c37cb02
14122c1172
15aaa1ba6
hex745c260

122012256 has 24 divisors (see below), whose sum is σ = 320282424. Its totient is φ = 40670720.

The previous prime is 122012197. The next prime is 122012257. The reversal of 122012256 is 652210221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1220122562 = 29773981228419072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012257) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 635385 + ... + 635576.

It is an arithmetic number, because the mean of its divisors is an integer number (13345101).

Almost surely, 2122012256 is an apocalyptic number.

122012256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122012256 is an abundant number, since it is smaller than the sum of its proper divisors (198270168).

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

122012256 is a wasteful number, since it uses less digits than its factorization.

122012256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270974 (or 1270966 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 122012256 is about 11045.9158063060. The cubic root of 122012256 is about 495.9841739661.

Adding to 122012256 its reverse (652210221), we get a palindrome (774222477).

The spelling of 122012256 in words is "one hundred twenty-two million, twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1270961 2541922 3812883 5083844 7625766 10167688 15251532 20335376 30503064 40670752 61006128 122012256