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20121111102200 = 23521633171947041
BaseRepresentation
bin1001001001100110011111…
…01011100000001011111000
32122020120002211100221211112
410210303033223200023320
510114131013420232300
6110443302201215452
74144462614300203
oct444631753401370
978216084327745
1020121111102200
11645835172a739
12230b733491588
13b2c549738214
144d7c1cd9293a
1524d5e2666e35
hex124ccfae02f8

20121111102200 has 96 divisors (see below), whose sum is σ = 47217092488560. Its totient is φ = 7973829734400.

The previous prime is 20121111102199. The next prime is 20121111102227. The reversal of 20121111102200 is 220111112102.

It is a super-2 number, since 2×201211111022002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9360680 + ... + 11307720.

Almost surely, 220121111102200 is an apocalyptic number.

20121111102200 is a gapful number since it is divisible by the number (20) 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 20121111102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23608546244280).

20121111102200 is an abundant number, since it is smaller than the sum of its proper divisors (27095981386360).

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

20121111102200 is a wasteful number, since it uses less digits than its factorization.

20121111102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947537 (or 1947528 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20121111102200 its reverse (220111112102), we get a palindrome (20341222214302).

The spelling of 20121111102200 in words is "twenty trillion, one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 317 326 634 652 815 1268 1304 1585 1630 2536 3170 3260 4075 6340 6520 7925 8150 12680 15850 16300 31700 32600 51671 63400 103342 206684 258355 413368 516710 1033420 1291775 1947041 2066840 2583550 3894082 5167100 7788164 9735205 10334200 15576328 19470410 38940820 48676025 77881640 97352050 194704100 317367683 389408200 617211997 634735366 1234423994 1269470732 1586838415 2468847988 2538941464 3086059985 3173676830 4937695976 6172119970 6347353660 7934192075 12344239940 12694707320 15430299925 15868384150 24688479880 30860599850 31736768300 61721199700 63473536600 100605555511 123442399400 201211111022 402422222044 503027777555 804844444088 1006055555110 2012111110220 2515138887775 4024222220440 5030277775550 10060555551100 20121111102200