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2001210012 = 2232178339397
BaseRepresentation
bin111011101001000…
…0000101010011100
312011110122000001100
41313102000222130
513044302210022
6530324513100
7100410001344
oct16722005234
95143560040
102001210012
119376a377a
1247a24b790
1325b7ac049
1414dad1d24
15baa511ac
hex77480a9c

2001210012 has 72 divisors (see below), whose sum is σ = 5420849616. Its totient is φ = 620250624.

The previous prime is 2001210011. The next prime is 2001210019. The reversal of 2001210012 is 2100121002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001209976 and 2001210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001210011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31098 + ... + 70494.

It is an arithmetic number, because the mean of its divisors is an integer number (75289578).

Almost surely, 22001210012 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 2001210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710424808).

2001210012 is an abundant number, since it is smaller than the sum of its proper divisors (3419639604).

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

2001210012 is a wasteful number, since it uses less digits than its factorization.

2001210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39507 (or 39502 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2001210012 is about 44734.8858498600. The cubic root of 2001210012 is about 1260.1750852690.

Adding to 2001210012 its reverse (2100121002), we get a palindrome (4101331014).

The spelling of 2001210012 in words is "two billion, one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 83 102 153 166 204 249 306 332 498 612 747 996 1411 1494 2822 2988 4233 5644 8466 12699 16932 25398 39397 50796 78794 118191 157588 236382 354573 472764 669749 709146 1339498 1418292 2009247 2678996 3269951 4018494 6027741 6539902 8036988 9809853 12055482 13079804 19619706 24110964 29429559 39239412 55589167 58859118 111178334 117718236 166767501 222356668 333535002 500302503 667070004 1000605006 2001210012