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12032011122112 = 261271576793887
BaseRepresentation
bin1010111100010110101110…
…1111111011010111000000
31120121020201112122121001201
42233011223233323113000
53034113024321401422
641331232443310544
72351166311035102
oct257055357732700
946536645577051
1012032011122112
113919824671723
121423a7421b454
136937c9624567
142d84d1179572
1515cea83a7727
hexaf16bbfb5c0

12032011122112 has 56 divisors (see below), whose sum is σ = 24065804795904. Its totient is φ = 5968193317632.

The previous prime is 12032011122107. The next prime is 12032011122113. The reversal of 12032011122112 is 21122111023021.

It is a self number, because there is not a number n which added to its sum of digits gives 12032011122112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032011122113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128107233 + ... + 128201119.

Almost surely, 212032011122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032011122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12032902397952).

12032011122112 is an abundant number, since it is smaller than the sum of its proper divisors (12033793673792).

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

12032011122112 is a wasteful number, since it uses less digits than its factorization.

12032011122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109793 (or 109783 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 12032011122112 its reverse (21122111023021), we get a palindrome (33154122145133).

Subtracting 12032011122112 from its reverse (21122111023021), we obtain a palindrome (9090099900909).

The spelling of 12032011122112 in words is "twelve trillion, thirty-two billion, eleven million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128 15767 31534 63068 93887 126136 187774 252272 375548 504544 751096 1009088 1502192 2002409 3004384 4004818 6008768 8009636 11923649 16019272 23847298 32038544 47694596 64077088 95389192 128154176 190778384 381556768 763113536 1480316329 2960632658 5921265316 11842530632 23685061264 47370122528 94740245056 188000173783 376000347566 752000695132 1504001390264 3008002780528 6016005561056 12032011122112