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120021022022200 = 2352132910714876549
BaseRepresentation
bin11011010010100010010010…
…011000100001101000111000
3120201221220020101102102002021
4123102202102120201220320
5111212411023114202300
61103132521335444224
734165142545342465
oct3322422230415070
9521856211372067
10120021022022200
11352736a1a98682
1211564a65526674
1351c7c1a782470
14218d096d9666c
15dd204eea2d1a
hex6d2892621a38

120021022022200 has 192 divisors, whose sum is σ = 313782143220000. Its totient is φ = 42387450685440.

The previous prime is 120021022022183. The next prime is 120021022022243. The reversal of 120021022022200 is 2220220120021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629526 + ... + 15506074.

Almost surely, 2120021022022200 is an apocalyptic number.

120021022022200 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 120021022022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156891071610000).

120021022022200 is an abundant number, since it is smaller than the sum of its proper divisors (193761121197800).

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

120021022022200 is a wasteful number, since it uses less digits than its factorization.

120021022022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14876714 (or 14876705 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 120021022022200 its reverse (2220220120021), we get a palindrome (122241242142221).

The spelling of 120021022022200 in words is "one hundred twenty trillion, twenty-one billion, twenty-two million, twenty-two thousand, two hundred".