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12221201112 = 2332929359929
BaseRepresentation
bin10110110000111000…
…01011101011011000
31011112201100100020020
423120130023223120
5200012111413422
65340410430440
7611565331641
oct133034135330
934481310206
1012221201112
11520160530a
122450a32420
1311c9c32b63
1483d15c6c8
154b7db695c
hex2d870bad8

12221201112 has 64 divisors (see below), whose sum is σ = 31714956000. Its totient is φ = 3919770624.

The previous prime is 12221201107. The next prime is 12221201119. The reversal of 12221201112 is 21110212221.

12221201112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12221201091 and 12221201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221201119) 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, 173964 + ... + 233892.

Almost surely, 212221201112 is an apocalyptic number.

12221201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857478000).

12221201112 is an abundant number, since it is smaller than the sum of its proper divisors (19493754888).

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

12221201112 is a wasteful number, since it uses less digits than its factorization.

12221201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60260 (or 60256 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12221201112 its reverse (21110212221), we get a palindrome (33331413333).

The spelling of 12221201112 in words is "twelve billion, two hundred twenty-one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 293 348 586 696 879 1172 1758 2344 3516 7032 8497 16994 25491 33988 50982 59929 67976 101964 119858 179787 203928 239716 359574 479432 719148 1438296 1737941 3475882 5213823 6951764 10427646 13903528 17559197 20855292 35118394 41710584 52677591 70236788 105355182 140473576 210710364 421420728 509216713 1018433426 1527650139 2036866852 3055300278 4073733704 6110600556 12221201112