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120021211200 = 26352112399511
BaseRepresentation
bin110111111000111010…
…0100101100001000000
3102110210111002020210110
41233301310211201000
53431300412224300
6131045331031320
711446144314432
oct1576164454100
9373714066713
10120021211200
114699a932440
121b316a3b540
13b419702b87
145b480a8652
1531c6c95550
hex1bf1d25840

120021211200 has 336 divisors, whose sum is σ = 431409530880. Its totient is φ = 28971264000.

The previous prime is 120021211183. The next prime is 120021211201. The reversal of 120021211200 is 2112120021.

It is a super-2 number, since 2×1200212112002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120021211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12614445 + ... + 12623955.

Almost surely, 2120021211200 is an apocalyptic number.

120021211200 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 120021211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215704765440).

120021211200 is an abundant number, since it is smaller than the sum of its proper divisors (311388319680).

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

120021211200 is a wasteful number, since it uses less digits than its factorization.

120021211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786 (or 9771 counting only the distinct ones).

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

Adding to 120021211200 its reverse (2112120021), we get a palindrome (122133331221).

The spelling of 120021211200 in words is "one hundred twenty billion, twenty-one million, two hundred eleven thousand, two hundred".