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12211110011220 = 22351511347804637
BaseRepresentation
bin1011000110110001111011…
…0111111110000101010100
31121020101000020210211112220
42301230132313332011110
53100031323130324340
641545412334142340
72400136455341541
oct261543667760524
947211006724486
1012211110011220
11398878029295a
1214527180519b0
136a766c6738a3
14303041409bc8
1516298b914ed0
hexb1b1edfe154

12211110011220 has 48 divisors (see below), whose sum is σ = 34417539235968. Its totient is φ = 3234731126400.

The previous prime is 12211110011207. The next prime is 12211110011263. The reversal of 12211110011220 is 2211001111221.

It is a happy number.

It is a super-3 number, since 3×122111100112203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12211110011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673893259 + ... + 673911378.

It is an arithmetic number, because the mean of its divisors is an integer number (717032067416).

Almost surely, 212211110011220 is an apocalyptic number.

12211110011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211110011220 is an abundant number, since it is smaller than the sum of its proper divisors (22206429224748).

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

12211110011220 is a wasteful number, since it uses less digits than its factorization.

12211110011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347804800 (or 1347804798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12211110011220 its reverse (2211001111221), we get a palindrome (14422111122441).

The spelling of 12211110011220 in words is "twelve trillion, two hundred eleven billion, one hundred ten million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 4530 9060 1347804637 2695609274 4043413911 5391218548 6739023185 8086827822 13478046370 16173655644 20217069555 26956092740 40434139110 80868278220 203518500187 407037000374 610555500561 814074000748 1017592500935 1221111001122 2035185001870 2442222002244 3052777502805 4070370003740 6105555005610 12211110011220