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21120212212000 = 25531110110346141
BaseRepresentation
bin1001100110101011011101…
…01111110001100100100000
32202210001221220101000202221
410303111232233301210200
510232013143311241000
6112530254101320424
74306612355512126
oct463255657614440
982701856330687
1021120212212000
116803039211070
1224512a4406114
13ba2820708565
1453031bc8b916
152695ba02061a
hex13356ebf1920

21120212212000 has 384 divisors, whose sum is σ = 57726645290496. Its totient is φ = 7530048000000.

The previous prime is 21120212211983. The next prime is 21120212212003. The reversal of 21120212212000 is 21221202112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21120212212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457708930 + ... + 457755070.

It is an arithmetic number, because the mean of its divisors is an integer number (150329805444).

Almost surely, 221120212212000 is an apocalyptic number.

21120212212000 is a gapful number since it is divisible by the number (20) 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 21120212212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28863322645248).

21120212212000 is an abundant number, since it is smaller than the sum of its proper divisors (36606433078496).

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

21120212212000 is a wasteful number, since it uses less digits than its factorization.

21120212212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46381 (or 46363 counting only the distinct ones).

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

Adding to 21120212212000 its reverse (21221202112), we get a palindrome (21141433414112).

It can be divided in two parts, 21 and 120212212000, that added together give a palindrome (120212212021).

The spelling of 21120212212000 in words is "twenty-one trillion, one hundred twenty billion, two hundred twelve million, two hundred twelve thousand".