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12441311412 = 2237229143419
BaseRepresentation
bin10111001011000111…
…10101100010110100
31012010001112002210120
423211203311202310
5200434433431122
65414312251540
7620210254635
oct134543654264
935101462716
1012441311412
115304883452
1224b26a0bb0
13123370b83a
1486049788c
154cc39475c
hex2e58f58b4

12441311412 has 24 divisors (see below), whose sum is σ = 29033944800. Its totient is φ = 4146501216.

The previous prime is 12441311411. The next prime is 12441311417. The reversal of 12441311412 is 21411314421.

It is a happy number.

It is a super-2 number, since 2×124413114122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441311411) 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, 15039 + ... + 158457.

It is an arithmetic number, because the mean of its divisors is an integer number (1209747700).

Almost surely, 212441311412 is an apocalyptic number.

12441311412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12441311412 is an abundant number, since it is smaller than the sum of its proper divisors (16592633388).

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

12441311412 is a wasteful number, since it uses less digits than its factorization.

12441311412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150655 (or 150653 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 12441311412 its reverse (21411314421), we get a palindrome (33852625833).

The spelling of 12441311412 in words is "twelve billion, four hundred forty-one million, three hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 7229 14458 21687 28916 43374 86748 143419 286838 430257 573676 860514 1721028 1036775951 2073551902 3110327853 4147103804 6220655706 12441311412