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122065636 = 22711617389
BaseRepresentation
bin1110100011010…
…01001011100100
322111200120120111
413101221023210
5222222100021
620040142404
73011353330
oct721511344
9274616514
10122065636
11629a27a0
1234a67a04
131c39b1b4
14122d67c0
15aab28e1
hex74692e4

122065636 has 96 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 45619200.

The previous prime is 122065621. The next prime is 122065637. The reversal of 122065636 is 636560221.

It is a junction number, because it is equal to n+sod(n) for n = 122065598 and 122065607.

It is not an unprimeable number, because it can be changed into a prime (122065637) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1371480 + ... + 1371568.

It is an arithmetic number, because the mean of its divisors is an integer number (2890440).

Almost surely, 2122065636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122065636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741120).

122065636 is an abundant number, since it is smaller than the sum of its proper divisors (155416604).

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

122065636 is a wasteful number, since it uses less digits than its factorization.

122065636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 122065636 is about 11048.3318197817. The cubic root of 122065636 is about 496.0564939554.

The spelling of 122065636 in words is "one hundred twenty-two million, sixty-five thousand, six hundred thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 61 73 77 89 122 146 154 178 244 292 308 356 427 511 623 671 803 854 979 1022 1246 1342 1606 1708 1958 2044 2492 2684 3212 3916 4453 4697 5429 5621 6497 6853 8906 9394 10858 11242 12994 13706 17812 18788 21716 22484 25988 27412 31171 38003 45479 48983 59719 62342 71467 76006 90958 97966 119438 124684 142934 152012 181916 195932 238876 285868 342881 396317 418033 500269 685762 792634 836066 1000538 1371524 1585268 1672132 2001076 2774219 4359487 5548438 8718974 11096876 17437948 30516409 61032818 122065636