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12200111040 = 2635131039491
BaseRepresentation
bin10110101110010111…
…01110101111000000
31011111020122212002110
423113023232233000
5144441212023130
65334334415320
7611221142565
oct132713565700
934436585073
1012200111040
1151a070aaa7
122445961540
1311c575a520
1483a42c86c
154b60ecab0
hex2d72eebc0

12200111040 has 224 divisors, whose sum is σ = 42124432896. Its totient is φ = 2973634560.

The previous prime is 12200111009. The next prime is 12200111069. The reversal of 12200111040 is 4011100221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280695 + ... + 1290185.

It is an arithmetic number, because the mean of its divisors is an integer number (188055504).

Almost surely, 212200111040 is an apocalyptic number.

12200111040 is a gapful number since it is divisible by the number (10) 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 12200111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062216448).

12200111040 is an abundant number, since it is smaller than the sum of its proper divisors (29924321856).

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

12200111040 is a wasteful number, since it uses less digits than its factorization.

12200111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9627 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12200111040 its reverse (4011100221), we get a palindrome (16211211261).

The spelling of 12200111040 in words is "twelve billion, two hundred million, one hundred eleven thousand, forty".