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200122002012 = 2231931271104479
BaseRepresentation
bin1011101001100000110…
…0110110101001011100
3201010112211212000210110
42322120030312221130
511234322213031022
6231533525010020
720313131644002
oct2723014665134
9633484760713
10200122002012
1177964720109
1232950553910
1315b4369740a
14998639ca72
15531402300c
hex2e98336a5c

200122002012 has 96 divisors (see below), whose sum is σ = 509260595200. Its totient is φ = 60931569600.

The previous prime is 200122002011. The next prime is 200122002013. The reversal of 200122002012 is 210200221002.

200122002012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200122002011) and next prime (200122002013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200122002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1863189 + ... + 1967667.

Almost surely, 2200122002012 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 200122002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254630297600).

200122002012 is an abundant number, since it is smaller than the sum of its proper divisors (309138593188).

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

200122002012 is a wasteful number, since it uses less digits than its factorization.

200122002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104807 (or 104805 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200122002012 its reverse (210200221002), we get a palindrome (410322223014).

The spelling of 200122002012 in words is "two hundred billion, one hundred twenty-two million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 271 372 542 589 813 1084 1178 1626 1767 2356 3252 3534 5149 7068 8401 10298 15447 16802 20596 25203 30894 33604 50406 61788 100812 104479 159619 208958 313437 319238 417916 478857 626874 638476 957714 1253748 1915428 1985101 3238849 3970202 5955303 6477698 7940404 9716547 11910606 12955396 19433094 23821212 28313809 38866188 56627618 61538131 84941427 113255236 123076262 169882854 184614393 246152524 339765708 369228786 537962371 738457572 877728079 1075924742 1613887113 1755456158 2151849484 2633184237 3227774226 3510912316 5266368474 6455548452 10532736948 16676833501 33353667002 50030500503 66707334004 100061001006 200122002012