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12132100044 = 22325343114753
BaseRepresentation
bin10110100110010000…
…10010011111001100
31011022111200112112200
423103020102133030
5144321304200134
65323505001500
7606434102031
oct132310223714
934274615480
1012132100044
115166288369
122427023290
1311b463712c
148313a7388
154b0166499
hex2d32127cc

12132100044 has 72 divisors (see below), whose sum is σ = 31320499392. Its totient is φ = 3958256640.

The previous prime is 12132099979. The next prime is 12132100049. The reversal of 12132100044 is 44000123121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12132100049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814972 + ... + 829724.

It is an arithmetic number, because the mean of its divisors is an integer number (435006936).

Almost surely, 212132100044 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 12132100044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660249696).

12132100044 is an abundant number, since it is smaller than the sum of its proper divisors (19188399348).

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

12132100044 is a wasteful number, since it uses less digits than its factorization.

12132100044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15247 (or 15242 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12132100044 its reverse (44000123121), we get a palindrome (56132223165).

The spelling of 12132100044 in words is "twelve billion, one hundred thirty-two million, one hundred thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 431 477 636 862 954 1293 1724 1908 2586 3879 5172 7758 14753 15516 22843 29506 44259 45686 59012 68529 88518 91372 132777 137058 177036 205587 265554 274116 411174 531108 781909 822348 1563818 2345727 3127636 4691454 6358543 7037181 9382908 12717086 14074362 19075629 25434172 28148724 38151258 57226887 76302516 114453774 228907548 337002779 674005558 1011008337 1348011116 2022016674 3033025011 4044033348 6066050022 12132100044