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20120111221200 = 24352234729154153
BaseRepresentation
bin1001001001100100101000…
…00101010000100111010000
32122020110112010220201221220
410210302110011100213100
510114121441433034300
6110443015042245040
74144426053403224
oct444622405204720
978213463821856
1020120111221200
116457989288301
12230b4b4656780
13b2c41a540263
144d7b66276784
1524d5849aada0
hex124c941509d0

20120111221200 has 240 divisors, whose sum is σ = 67268316635520. Its totient is φ = 5130967818240.

The previous prime is 20120111221183. The next prime is 20120111221207. The reversal of 20120111221200 is 212211102102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20120111221200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20120111221207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130443324 + ... + 130597476.

It is an arithmetic number, because the mean of its divisors is an integer number (280284652648).

Almost surely, 220120111221200 is an apocalyptic number.

20120111221200 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 20120111221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33634158317760).

20120111221200 is an abundant number, since it is smaller than the sum of its proper divisors (47148205414320).

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

20120111221200 is a wasteful number, since it uses less digits than its factorization.

20120111221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158926 (or 158915 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20120111221200 its reverse (212211102102), we get a palindrome (20332322323302).

The spelling of 20120111221200 in words is "twenty trillion, one hundred twenty billion, one hundred eleven million, two hundred twenty-one thousand, two hundred".