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12221010211201 = 1110186931265387
BaseRepresentation
bin1011000111010110110011…
…1110001111000110000001
31121021022120012210002210021
42301311230332033012001
53100212112103224301
641554130553533441
72400640011553411
oct261655476170601
947238505702707
1012221010211201
1139919a0732710
12145461b714281
136a858978a59c
143037001d0641
15162d6ab5c8a1
hexb1d6cf8f181

12221010211201 has 16 divisors (see below), whose sum is σ = 13465570724928. Its totient is φ = 10998735112000.

The previous prime is 12221010211171. The next prime is 12221010211211. The reversal of 12221010211201 is 10211201012221.

It is a cyclic number.

It is not a de Polignac number, because 12221010211201 - 213 = 12221010203009 is a prime.

It is a super-2 number, since 2×122210102112012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12221010211211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9025230 + ... + 10290616.

It is an arithmetic number, because the mean of its divisors is an integer number (841598170308).

Almost surely, 212221010211201 is an apocalyptic number.

12221010211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221010211201 is a deficient number, since it is larger than the sum of its proper divisors (1244560513727).

12221010211201 is a wasteful number, since it uses less digits than its factorization.

12221010211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274192.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12221010211201 its reverse (10211201012221), we get a palindrome (22432211223422).

The spelling of 12221010211201 in words is "twelve trillion, two hundred twenty-one billion, ten million, two hundred eleven thousand, two hundred one".

Divisors: 1 11 101 1111 8693 95623 877993 1265387 9657923 13919257 127804087 1405844957 11000009191 121000101101 1111000928291 12221010211201