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20111220202120 = 2352298392616863
BaseRepresentation
bin1001001001010100000100…
…01000101101101010001000
32122012121120111220011122221
410210222002020231222020
510114000234332431440
6110434544513023424
74143662533110625
oct444520210555210
978177514804587
1020111220202120
116454136562053
122309832b54b74
13b2b631529518
144d756150d34c
1524d214159d4a
hex124a8222da88

20111220202120 has 64 divisors (see below), whose sum is σ = 45502031232000. Its totient is φ = 7999809938688.

The previous prime is 20111220202103. The next prime is 20111220202123. The reversal of 20111220202120 is 2120202211102.

It is a happy number.

It is a super-2 number, since 2×201112202021202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20111220202094 and 20111220202103.

It is not an unprimeable number, because it can be changed into a prime (20111220202123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6376809 + ... + 8993671.

It is an arithmetic number, because the mean of its divisors is an integer number (710969238000).

Almost surely, 220111220202120 is an apocalyptic number.

20111220202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111220202120 is an abundant number, since it is smaller than the sum of its proper divisors (25390811029880).

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

20111220202120 is a wasteful number, since it uses less digits than its factorization.

20111220202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617942 (or 2617938 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20111220202120 its reverse (2120202211102), we get a palindrome (22231422413222).

The spelling of 20111220202120 in words is "twenty trillion, one hundred eleven billion, two hundred twenty million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 229 458 839 916 1145 1678 1832 2290 3356 4195 4580 6712 8390 9160 16780 33560 192131 384262 768524 960655 1537048 1921310 2616863 3842620 5233726 7685240 10467452 13084315 20934904 26168630 52337260 104674520 599261627 1198523254 2195548057 2397046508 2996308135 4391096114 4794093016 5992616270 8782192228 10977740285 11985232540 17564384456 21955480570 23970465080 43910961140 87821922280 502780505053 1005561010106 2011122020212 2513902525265 4022244040424 5027805050530 10055610101060 20111220202120