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122000032 = 2571167739
BaseRepresentation
bin1110100010110…
…01001010100000
322111120020120201
413101121022200
5222213000112
620034514544
73010661140
oct721311240
9274506521
10122000032
1162958480
1234a35a54
131c37738b
14122ba920
15aa9d257
hex74592a0

122000032 has 96 divisors (see below), whose sum is σ = 304335360. Its totient is φ = 46759680.

The previous prime is 122000029. The next prime is 122000033. The reversal of 122000032 is 230000221.

Adding to 122000032 its reverse (230000221), we get a palindrome (352000253).

It is a junction number, because it is equal to n+sod(n) for n = 121999982 and 122000018.

It is not an unprimeable number, because it can be changed into a prime (122000033) 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 15 ways as a sum of consecutive naturals, for example, 164719 + ... + 165457.

It is an arithmetic number, because the mean of its divisors is an integer number (3170160).

Almost surely, 2122000032 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 122000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152167680).

122000032 is an abundant number, since it is smaller than the sum of its proper divisors (182335328).

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

122000032 is a wasteful number, since it uses less digits than its factorization.

122000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 122000032 is about 11045.3624657591. The cubic root of 122000032 is about 495.9676097475.

The spelling of 122000032 in words is "one hundred twenty-two million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 67 77 88 112 134 154 176 224 268 308 352 469 536 616 737 739 938 1072 1232 1474 1478 1876 2144 2464 2948 2956 3752 5159 5173 5896 5912 7504 8129 10318 10346 11792 11824 15008 16258 20636 20692 23584 23648 32516 41272 41384 49513 56903 65032 82544 82768 99026 113806 130064 165088 165536 198052 227612 260128 346591 396104 455224 544643 693182 792208 910448 1089286 1386364 1584416 1820896 2178572 2772728 3812501 4357144 5545456 7625002 8714288 11090912 15250004 17428576 30500008 61000016 122000032