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12120022220201 = 721789138260141
BaseRepresentation
bin1011000001011110100110…
…0111100111110110101001
31120220122220012001121200022
42300113221213213312221
53042033301142021301
641435510014450225
72360433310031600
oct260275147476651
946818805047608
1012120022220201
113953088636325
121438b36b03975
1369bbb4386aac
142dc87dc6aa37
15160409d14d1b
hexb05e99e7da9

12120022220201 has 12 divisors (see below), whose sum is σ = 14106682288260. Its totient is φ = 10382783473440.

The previous prime is 12120022220149. The next prime is 12120022220203. The reversal of 12120022220201 is 10202222002121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9959225118976 + 2160797101225 = 3155824^2 + 1469965^2 .

It is a de Polignac number, because none of the positive numbers 2k-12120022220201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12120022220201.

It is not an unprimeable number, because it can be changed into a prime (12120022220203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69042410 + ... + 69217731.

It is an arithmetic number, because the mean of its divisors is an integer number (1175556857355).

Almost surely, 212120022220201 is an apocalyptic number.

It is an amenable number.

12120022220201 is a deficient number, since it is larger than the sum of its proper divisors (1986660068059).

12120022220201 is a wasteful number, since it uses less digits than its factorization.

12120022220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138261944 (or 138261937 counting only the distinct ones).

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

Adding to 12120022220201 its reverse (10202222002121), we get a palindrome (22322244222322).

The spelling of 12120022220201 in words is "twelve trillion, one hundred twenty billion, twenty-two million, two hundred twenty thousand, two hundred one".

Divisors: 1 7 49 1789 12523 87661 138260141 967820987 6774746909 247347392249 1731431745743 12120022220201