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201201200112 = 243111923386077
BaseRepresentation
bin1011101101100010000…
…1101010101111110000
3201020100001112222021110
42323120201222233300
511244030001400422
6232232555553320
720351644661103
oct2733041525760
9636301488243
10201201200112
1178368917670
1232bb1a5b840
1315c86143983
149a4984473a
155378b4a60c
hex2ed886abf0

201201200112 has 160 divisors (see below), whose sum is σ = 599433419520. Its totient is φ = 57512540160.

The previous prime is 201201200099. The next prime is 201201200117. The reversal of 201201200112 is 211002102102.

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 (201201200117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2294418 + ... + 2380494.

It is an arithmetic number, because the mean of its divisors is an integer number (3746458872).

Almost surely, 2201201200112 is an apocalyptic number.

201201200112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201201200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299716709760).

201201200112 is an abundant number, since it is smaller than the sum of its proper divisors (398232219408).

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

201201200112 is a wasteful number, since it uses less digits than its factorization.

201201200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86351 (or 86345 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201201200112 its reverse (211002102102), we get a palindrome (412203302214).

The spelling of 201201200112 in words is "two hundred one billion, two hundred one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 233 264 304 418 456 466 528 627 699 836 912 932 1254 1398 1672 1864 2508 2563 2796 3344 3728 4427 5016 5126 5592 7689 8854 10032 10252 11184 13281 15378 17708 20504 26562 30756 35416 41008 48697 53124 61512 70832 86077 97394 106248 123024 146091 172154 194788 212496 258231 292182 344308 389576 516462 584364 688616 779152 946847 1032924 1168728 1377232 1635463 1893694 2065848 2337456 2840541 3270926 3787388 4131696 4906389 5681082 6541852 7574776 9812778 11362164 13083704 15149552 17990093 19625556 20055941 22724328 26167408 35980186 39251112 40111882 45448656 53970279 60167823 71960372 78502224 80223764 107940558 120335646 143920744 160447528 215881116 220615351 240671292 287841488 320895056 381062879 431762232 441230702 481342584 661846053 762125758 863524464 882461404 962685168 1143188637 1323692106 1524251516 1764922808 2286377274 2647384212 3048503032 3529845616 4191691669 4572754548 5294768424 6097006064 8383383338 9145509096 10589536848 12575075007 16766766676 18291018192 25150150014 33533533352 50300300028 67067066704 100600600056 201201200112