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20122012020 = 223511271103379
BaseRepresentation
bin10010101111010111…
…011000100101110100
31220221100010010021110
4102233113120211310
5312202213341040
613124404315020
71311433165035
oct225727304564
956840103243
1020122012020
118596395500
123a969a2a70
131b88a575b6
14d8c5a6a8c
157cb81c980
hex4af5d8974

20122012020 has 288 divisors, whose sum is σ = 63578511360. Its totient is φ = 4750099200.

The previous prime is 20122012019. The next prime is 20122012033. The reversal of 20122012020 is 2021022102.

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 = 20122011987 and 20122012005.

It is a congruent number.

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, 53092191 + ... + 53092569.

It is an arithmetic number, because the mean of its divisors is an integer number (220758720).

Almost surely, 220122012020 is an apocalyptic number.

20122012020 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 20122012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31789255680).

20122012020 is an abundant number, since it is smaller than the sum of its proper divisors (43456499340).

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

20122012020 is a wasteful number, since it uses less digits than its factorization.

20122012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20122012020 its reverse (2021022102), we get a palindrome (22143034122).

The spelling of 20122012020 in words is "twenty billion, one hundred twenty-two million, twelve thousand, twenty".