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12110200002120 = 233511193749926153
BaseRepresentation
bin1011000000111010000000…
…1010110101011001001000
31120212201112122211020111110
42300032200022311121020
53041403142200031440
641431203222330320
72356635021406353
oct260164012653110
946781478736443
1012110200002120
1139499a8209520
1214370555899a0
1369acaa474a2c
142dc1cb58529a
15160032873080
hexb03a02b5648

12110200002120 has 512 divisors, whose sum is σ = 42934406400000. Its totient is φ = 2700593602560.

The previous prime is 12110200002097. The next prime is 12110200002143. The reversal of 12110200002120 is 2120000201121.

It is an interprime number because it is at equal distance from previous prime (12110200002097) and next prime (12110200002143).

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

It is a junction number, because it is equal to n+sod(n) for n = 12110200002096 and 12110200002105.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 463038964 + ... + 463065116.

It is an arithmetic number, because the mean of its divisors is an integer number (83856262500).

Almost surely, 212110200002120 is an apocalyptic number.

12110200002120 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 12110200002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21467203200000).

12110200002120 is an abundant number, since it is smaller than the sum of its proper divisors (30824206397880).

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

12110200002120 is a wasteful number, since it uses less digits than its factorization.

12110200002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26733 (or 26729 counting only the distinct ones).

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

Adding to 12110200002120 its reverse (2120000201121), we get a palindrome (14230200203241).

The spelling of 12110200002120 in words is "twelve trillion, one hundred ten billion, two hundred million, two thousand, one hundred twenty".