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12202020112000 = 27533176132327
BaseRepresentation
bin1011000110010000000100…
…0100110000011010000000
31121012111112202120002222211
42301210001010300122000
53044404214122041000
641541310342111504
72366365301434615
oct261440104603200
947174482502884
1012202020112000
11398493627a054
1214509bba1b594
136a68513a84b4
1430281c0b250c
151626088cb7ba
hexb1901130680

12202020112000 has 256 divisors, whose sum is σ = 31358015170560. Its totient is φ = 4717009920000.

The previous prime is 12202020111991. The next prime is 12202020112013. The reversal of 12202020112000 is 21102020221.

It is a happy number.

It is a super-3 number, since 3×122020201120003 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377439837 + ... + 377472163.

It is an arithmetic number, because the mean of its divisors is an integer number (122492246760).

Almost surely, 212202020112000 is an apocalyptic number.

12202020112000 is a gapful number since it is divisible by the number (10) 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 12202020112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15679007585280).

12202020112000 is an abundant number, since it is smaller than the sum of its proper divisors (19155995058560).

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

12202020112000 is an equidigital number, since it uses as much as digits as its factorization.

12202020112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33148 (or 33126 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12202020112000 its reverse (21102020221), we get a palindrome (12223122132221).

The spelling of 12202020112000 in words is "twelve trillion, two hundred two billion, twenty million, one hundred twelve thousand".