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212012201024 = 26131953594289
BaseRepresentation
bin1100010101110011101…
…0010111010001000000
3202021020111100201111122
43011130322113101000
511433200110413044
6241221433131412
721213600655151
oct3053472272100
9667214321448
10212012201024
1181a063a6668
123510a559b68
1316cb9b66330
14a393597928
1557acd04dee
hex315ce97440

212012201024 has 224 divisors, whose sum is σ = 494269776000. Its totient is φ = 89390186496.

The previous prime is 212012200991. The next prime is 212012201047. The reversal of 212012201024 is 420102210212.

It is a junction number, because it is equal to n+sod(n) for n = 212012200993 and 212012201011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49429472 + ... + 49433760.

It is an arithmetic number, because the mean of its divisors is an integer number (2206561500).

Almost surely, 2212012201024 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 212012201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247134888000).

212012201024 is an abundant number, since it is smaller than the sum of its proper divisors (282257574976).

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

212012201024 is a wasteful number, since it uses less digits than its factorization.

212012201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212012201024 its reverse (420102210212), we get a palindrome (632114411236).

The spelling of 212012201024 in words is "two hundred twelve billion, twelve million, two hundred one thousand, twenty-four".