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12211223120 = 245152640289
BaseRepresentation
bin10110101111101100…
…00111101001010000
31011112000120101222222
423113312013221100
5200002033114440
65335412520212
7611414453405
oct132766075120
934460511888
1012211223120
1151a6a0a738
122449620068
1311c7b4b315
1483bac22ac
154b70952b5
hex2d7d87a50

12211223120 has 20 divisors (see below), whose sum is σ = 28391093940. Its totient is φ = 4884489216.

The previous prime is 12211223093. The next prime is 12211223147. The reversal of 12211223120 is 2132211221.

It is an interprime number because it is at equal distance from previous prime (12211223093) and next prime (12211223147).

It can be written as a sum of positive squares in 2 ways, for example, as 6065917456 + 6145305664 = 77884^2 + 78392^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×122112231202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76320065 + ... + 76320224.

It is an arithmetic number, because the mean of its divisors is an integer number (1419554697).

Almost surely, 212211223120 is an apocalyptic number.

12211223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211223120 is an abundant number, since it is smaller than the sum of its proper divisors (16179870820).

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

12211223120 is a wasteful number, since it uses less digits than its factorization.

12211223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152640302 (or 152640296 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12211223120 its reverse (2132211221), we get a palindrome (14343434341).

The spelling of 12211223120 in words is "twelve billion, two hundred eleven million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 152640289 305280578 610561156 763201445 1221122312 1526402890 2442244624 3052805780 6105611560 12211223120