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20010121212112 = 242989727666511
BaseRepresentation
bin1001000110010111110000…
…01010101011000011010000
32121211221121202022100112121
410203023320022223003100
510110321212012241422
6110320304530504024
74133453312633623
oct443137012530320
977757552270477
1020010121212112
116415276841549
1222b2119135014
13b21c3c130a45
144d26d0533dba
1524a7986d88c7
hex1232f82ab0d0

20010121212112 has 80 divisors (see below), whose sum is σ = 40612975603200. Its totient is φ = 9538365957120.

The previous prime is 20010121212077. The next prime is 20010121212161. The reversal of 20010121212112 is 21121212101002.

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

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 15 ways as a sum of consecutive naturals, for example, 29688937 + ... + 30355447.

It is an arithmetic number, because the mean of its divisors is an integer number (507662195040).

Almost surely, 220010121212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010121212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20306487801600).

20010121212112 is an abundant number, since it is smaller than the sum of its proper divisors (20602854391088).

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

20010121212112 is a wasteful number, since it uses less digits than its factorization.

20010121212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667364 (or 667358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20010121212112 its reverse (21121212101002), we get a palindrome (41131333313114).

The spelling of 20010121212112 in words is "twenty trillion, ten billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 89 116 178 232 356 464 712 727 1424 1454 2581 2908 5162 5816 10324 11632 20648 21083 41296 42166 64703 84332 129406 168664 258812 337328 517624 666511 1035248 1333022 1876387 2666044 3752774 5332088 7505548 10664176 15011096 19328819 30022192 38657638 59319479 77315276 118638958 154630552 237277916 309261104 474555832 484553497 949111664 969106994 1720264891 1938213988 3440529782 3876427976 6881059564 7752855952 13762119128 14052051413 27524238256 28104102826 43125261233 56208205652 86250522466 112416411304 172501044932 224832822608 345002089864 690004179728 1250632575757 2501265151514 5002530303028 10005060606056 20010121212112