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122000256 = 27347412
BaseRepresentation
bin1110100010110…
…01001110000000
322111120020220000
413101121032000
5222213002011
620034520000
73010661610
oct721311600
9274506800
10122000256
1162958664
1234a36000
131c377501
14122baa40
15aa9d356
hex7459380

122000256 has 240 divisors, whose sum is σ = 425305320. Its totient is φ = 34007040.

The previous prime is 122000251. The next prime is 122000293. The reversal of 122000256 is 652000221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000251) 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 29 ways as a sum of consecutive naturals, for example, 2975596 + ... + 2975636.

Almost surely, 2122000256 is an apocalyptic number.

122000256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212652660).

122000256 is an abundant number, since it is smaller than the sum of its proper divisors (303305064).

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

122000256 is an frugal number, since it uses more digits than its factorization.

122000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122000256 is about 11045.3726057567. The cubic root of 122000256 is about 495.9679132903.

Adding to 122000256 its reverse (652000221), we get a palindrome (774000477).

The spelling of 122000256 in words is "one hundred twenty-two million, two hundred fifty-six", and thus it is an aban number.