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20121212120020 = 225114173137223051
BaseRepresentation
bin1001001001100110101011…
…01100110110101111010100
32122020120100212110012020021
410210303111230312233110
510114131220300320040
6110443320210314524
74144465252031614
oct444632554665724
978216325405207
1020121212120020
1164583a3756940
12230b761288a44
13b2c56464708b
144d7c2c56aa44
1524d5eb46d24a
hex124cd5b36bd4

20121212120020 has 192 divisors, whose sum is σ = 48216619084032. Its totient is φ = 6989137920000.

The previous prime is 20121212120017. The next prime is 20121212120027. The reversal of 20121212120020 is 2002121212102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20121212119976 and 20121212120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121212120027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90097495 + ... + 90320545.

It is an arithmetic number, because the mean of its divisors is an integer number (251128224396).

Almost surely, 220121212120020 is an apocalyptic number.

20121212120020 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 20121212120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24108309542016).

20121212120020 is an abundant number, since it is smaller than the sum of its proper divisors (28095406964012).

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

20121212120020 is a wasteful number, since it uses less digits than its factorization.

20121212120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223322 (or 223320 counting only the distinct ones).

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

Adding to 20121212120020 its reverse (2002121212102), we get a palindrome (22123333332122).

The spelling of 20121212120020 in words is "twenty trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twenty thousand, twenty".