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12211220501 = 295910396869
BaseRepresentation
bin10110101111101100…
…00111000000010101
31011112000120021101222
423113312013000111
5200002033024001
65335412500125
7611414442644
oct132766070025
934460507358
1012211220501
1151a6a08777
12244961a645
1311c7b4a07c
1483bac135b
154b709461b
hex2d7d87015

12211220501 has 16 divisors (see below), whose sum is σ = 12860640000. Its totient is φ = 11577470016.

The previous prime is 12211220477. The next prime is 12211220533. The reversal of 12211220501 is 10502211221.

12211220501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12211220501 is a prime.

It is a super-2 number, since 2×122112205012 (a number of 21 digits) contains 22 as substring.

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 12211220501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211220551) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1774295 + ... + 1781163.

It is an arithmetic number, because the mean of its divisors is an integer number (803790000).

Almost surely, 212211220501 is an apocalyptic number.

It is an amenable number.

12211220501 is a deficient number, since it is larger than the sum of its proper divisors (649419499).

12211220501 is a wasteful number, since it uses less digits than its factorization.

12211220501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7996.

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 12211220501 its reverse (10502211221), we get a palindrome (22713431722).

The spelling of 12211220501 in words is "twelve billion, two hundred eleven million, two hundred twenty thousand, five hundred one".

Divisors: 1 29 59 1039 1711 6869 30131 61301 199201 405271 1777729 7136891 11752859 206969839 421076569 12211220501