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2122212012 = 223316319041
BaseRepresentation
bin111111001111110…
…0110001010101100
312110220022112120220
41332133212022230
513321241241022
6550330211340
7103406335014
oct17637461254
95426275526
102122212012
11999a2a328
124b2883b50
1327a89706b
14161bccc44
15c64a385c
hex7e7e62ac

2122212012 has 48 divisors (see below), whose sum is σ = 5120231424. Its totient is φ = 683424000.

The previous prime is 2122211989. The next prime is 2122212013. The reversal of 2122212012 is 2102122212.

It is a junction number, because it is equal to n+sod(n) for n = 2122211982 and 2122212000.

It is not an unprimeable number, because it can be changed into a prime (2122212013) by changing a digit.

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, 230212 + ... + 239252.

It is an arithmetic number, because the mean of its divisors is an integer number (106671488).

Almost surely, 22122212012 is an apocalyptic number.

It is an amenable number.

2122212012 is an abundant number, since it is smaller than the sum of its proper divisors (2998019412).

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

2122212012 is a wasteful number, since it uses less digits than its factorization.

2122212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9710 (or 9708 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2122212012 is about 46067.4723856215. The cubic root of 2122212012 is about 1285.0782981052.

Adding to 2122212012 its reverse (2102122212), we get a palindrome (4224334224).

The spelling of 2122212012 in words is "two billion, one hundred twenty-two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 631 1262 1893 2524 3786 7572 9041 18082 19561 27123 36164 39122 54246 58683 78244 108492 117366 234732 280271 560542 840813 1121084 1681626 3363252 5704871 11409742 17114613 22819484 34229226 68458452 176851001 353702002 530553003 707404004 1061106006 2122212012