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120012102212200 = 2352114111511155961
BaseRepresentation
bin11011010010011001111110…
…101110001001101001101000
3120201221001012202020010001221
4123102121332232021221220
5111212234241131242300
61103124444301151424
734164405525245512
oct3322317656115150
9521831182203057
10120012102212200
113526a934a98380
121156319625b574
1351c71287cab93
14218c88c496bb2
15dd1bcbd6631a
hex6d267eb89a68

120012102212200 has 192 divisors, whose sum is σ = 312089764976640. Its totient is φ = 42539328000000.

The previous prime is 120012102212141. The next prime is 120012102212207. The reversal of 120012102212200 is 2212201210021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120012102212207) 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, 103242220 + ... + 104398180.

It is an arithmetic number, because the mean of its divisors is an integer number (1625467525920).

Almost surely, 2120012102212200 is an apocalyptic number.

120012102212200 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 120012102212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156044882488320).

120012102212200 is an abundant number, since it is smaller than the sum of its proper divisors (192077662764440).

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

120012102212200 is a wasteful number, since it uses less digits than its factorization.

120012102212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157180 (or 1157171 counting only the distinct ones).

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

Adding to 120012102212200 its reverse (2212201210021), we get a palindrome (122224303422221).

The spelling of 120012102212200 in words is "one hundred twenty trillion, twelve billion, one hundred two million, two hundred twelve thousand, two hundred".