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12122200120001 = 412579304137699
BaseRepresentation
bin1011000001100110101101…
…1011101001101011000001
31120220212111222011101112212
42300121223123221223001
53042102231212320001
641440510054431505
72360541263623646
oct260315333515301
946825458141485
1012122200120001
113953aa5a40714
121439444362595
1369c17064b0ba
142dca091d3dcd
151604d61187bb
hexb066b6e9ac1

12122200120001 has 16 divisors (see below), whose sum is σ = 12427093224000. Its totient is φ = 11817749990400.

The previous prime is 12122200119871. The next prime is 12122200120007. The reversal of 12122200120001 is 10002100222121.

12122200120001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12122200120001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12122200120007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321533450 + ... + 321571148.

It is an arithmetic number, because the mean of its divisors is an integer number (776693326500).

Almost surely, 212122200120001 is an apocalyptic number.

It is an amenable number.

12122200120001 is a deficient number, since it is larger than the sum of its proper divisors (304893103999).

12122200120001 is a wasteful number, since it uses less digits than its factorization.

12122200120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43360.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12122200120001 its reverse (10002100222121), we get a palindrome (22124300342122).

The spelling of 12122200120001 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, one hundred twenty thousand, one".

Divisors: 1 41 2579 3041 37699 105739 124681 1545659 7842739 97225721 114642659 321552299 3986254561 4700349019 295663417561 12122200120001