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12121012020 = 223513531012903
BaseRepresentation
bin10110100100111011…
…11111011100110100
31011021201211012122010
423102131333130310
5144310434341040
65322431204220
7606240621315
oct132235773464
934251735563
1012121012020
11515aaa4807
122423376670
1311b2254280
1482db1c60c
154ae1c5e80
hex2d277f734

12121012020 has 192 divisors, whose sum is σ = 37620785664. Its totient is φ = 2897356800.

The previous prime is 12121011989. The next prime is 12121012037. The reversal of 12121012020 is 2021012121.

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 = 12121011987 and 12121012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4173889 + ... + 4176791.

It is an arithmetic number, because the mean of its divisors is an integer number (195941592).

Almost surely, 212121012020 is an apocalyptic number.

12121012020 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 12121012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18810392832).

12121012020 is an abundant number, since it is smaller than the sum of its proper divisors (25499773644).

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

12121012020 is a wasteful number, since it uses less digits than its factorization.

12121012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12121012020 its reverse (2021012121), we get a palindrome (14142024141).

It can be divided in two parts, 1212101 and 2020, that added together give a palindrome (1214121).

The spelling of 12121012020 in words is "twelve billion, one hundred twenty-one million, twelve thousand, twenty".