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20121221220012 = 2233111771127110491
BaseRepresentation
bin1001001001100110101100…
…01111100100011010101100
32122020120101111120112002000
410210303112033210122230
510114131230113020022
6110443321133332300
74144465422262323
oct444632617443254
978216344515060
1020121221220012
1164583a89018a0
12230b764337090
13b2c5664b20a3
144d7c2d8590ba
1524d5ec1696ac
hex124cd63e46ac

20121221220012 has 384 divisors, whose sum is σ = 61586437570560. Its totient is φ = 5613245568000.

The previous prime is 20121221219999. The next prime is 20121221220017. The reversal of 20121221220012 is 21002212212102.

It is a happy number.

20121221220012 is a `hidden beast` number, since 201 + 21 + 221 + 220 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×201212212200122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20121221220017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182052087 + ... + 182162577.

It is an arithmetic number, because the mean of its divisors is an integer number (160381347840).

Almost surely, 220121221220012 is an apocalyptic number.

20121221220012 is a gapful number since it is divisible by the number (22) 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 20121221220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30793218785280).

20121221220012 is an abundant number, since it is smaller than the sum of its proper divisors (41465216350548).

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

20121221220012 is a wasteful number, since it uses less digits than its factorization.

20121221220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110730 (or 110722 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20121221220012 its reverse (21002212212102), we get a palindrome (41123433432114).

The spelling of 20121221220012 in words is "twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty thousand, twelve".