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12212103210120 = 2332511171791013429
BaseRepresentation
bin1011000110110101101000…
…0100101110010010001000
31121020110120110200120022100
42301231122010232102020
53100040341410210440
641550055053553400
72400203205365262
oct261553204562210
947213513616270
1012212103210120
11398913a9909a0
1214529547a5860
136a779a36c248
143030d72a6b32
151629e8c01230
hexb1b5a12e488

12212103210120 has 384 divisors, whose sum is σ = 46100525328000. Its totient is φ = 2770793226240.

The previous prime is 12212103210107. The next prime is 12212103210269. The reversal of 12212103210120 is 2101230121221.

12212103210120 is a `hidden beast` number, since 1 + 2 + 212 + 10 + 321 + 0 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12212103210093 and 12212103210102.

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 95 ways as a sum of consecutive naturals, for example, 11543566 + ... + 12556994.

It is an arithmetic number, because the mean of its divisors is an integer number (120053451375).

Almost surely, 212212103210120 is an apocalyptic number.

12212103210120 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 12212103210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23050262664000).

12212103210120 is an abundant number, since it is smaller than the sum of its proper divisors (33888422117880).

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

12212103210120 is a wasteful number, since it uses less digits than its factorization.

12212103210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013653 (or 1013646 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12212103210120 its reverse (2101230121221), we get a palindrome (14313333331341).

The spelling of 12212103210120 in words is "twelve trillion, two hundred twelve billion, one hundred three million, two hundred ten thousand, one hundred twenty".