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122000004 = 223272233197
BaseRepresentation
bin1110100010110…
…01001010000100
322111120020112200
413101121022010
5222213000004
620034514500
73010661100
oct721311204
9274506480
10122000004
1162958455
1234a35a30
131c377369
14122ba900
15aa9d239
hex7459284

122000004 has 216 divisors, whose sum is σ = 390394368. Its totient is φ = 31933440.

The previous prime is 122000003. The next prime is 122000029. The reversal of 122000004 is 400000221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 122000004.

It is not an unprimeable number, because it can be changed into a prime (122000003) 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 71 ways as a sum of consecutive naturals, for example, 1257684 + ... + 1257780.

Almost surely, 2122000004 is an apocalyptic number.

122000004 is a gapful number since it is divisible by the number (14) 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 122000004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184).

122000004 is an abundant number, since it is smaller than the sum of its proper divisors (268394364).

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

122000004 is a wasteful number, since it uses less digits than its factorization.

122000004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 122000004 is about 11045.3611982588. The cubic root of 122000004 is about 495.9675718046.

Adding to 122000004 its reverse (400000221), we get a palindrome (522000225).

The spelling of 122000004 in words is "one hundred twenty-two million, four", and thus it is an aban number.