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122001696 = 2532423617
BaseRepresentation
bin1110100010110…
…01100100100000
322111120022212100
413101121210200
5222213023241
620034530400
73010666035
oct721314440
9274508770
10122001696
1162959753
1234a36a00
131c37806b
14122bb38c
15aa9d9b6
hex7459920

122001696 has 36 divisors (see below), whose sum is σ = 346943142. Its totient is φ = 40667136.

The previous prime is 122001689. The next prime is 122001713. The reversal of 122001696 is 696100221.

It can be written as a sum of positive squares in only one way, i.e., 112784400 + 9217296 = 10620^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 211521 + ... + 212096.

Almost surely, 2122001696 is an apocalyptic number.

122001696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122001696 is an abundant number, since it is smaller than the sum of its proper divisors (224941446).

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

122001696 is a wasteful number, since it uses less digits than its factorization.

122001696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423633 (or 423622 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 122001696 is about 11045.4377912331. The cubic root of 122001696 is about 495.9698646277.

The spelling of 122001696 in words is "one hundred twenty-two million, one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 423617 847234 1270851 1694468 2541702 3388936 3812553 5083404 6777872 7625106 10166808 13555744 15250212 20333616 30500424 40667232 61000848 122001696