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122075808 = 25310331231
BaseRepresentation
bin1110100011010…
…11101010100000
322111201002112020
413101223222200
5222222411213
620040301440
73011425101
oct721535240
9274632466
10122075808
11629aa3a8
1234a71880
131c3a2a0a
14122da3a8
15aab5923
hex746baa0

122075808 has 48 divisors (see below), whose sum is σ = 321019776. Its totient is φ = 40619520.

The previous prime is 122075747. The next prime is 122075843. The reversal of 122075808 is 808570221.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98553 + ... + 99783.

It is an arithmetic number, because the mean of its divisors is an integer number (6687912).

Almost surely, 2122075808 is an apocalyptic number.

It is an amenable number.

122075808 is an abundant number, since it is smaller than the sum of its proper divisors (198943968).

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

122075808 is a wasteful number, since it uses less digits than its factorization.

122075808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 122075808 is about 11048.7921511811. The cubic root of 122075808 is about 496.0702727350.

It can be divided in two parts, 1220 and 75808, that added together give a triangular number (77028 = T392).

The spelling of 122075808 in words is "one hundred twenty-two million, seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1033 1231 2066 2462 3099 3693 4132 4924 6198 7386 8264 9848 12396 14772 16528 19696 24792 29544 33056 39392 49584 59088 99168 118176 1271623 2543246 3814869 5086492 7629738 10172984 15259476 20345968 30518952 40691936 61037904 122075808