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12132103120 = 245151651289
BaseRepresentation
bin10110100110010000…
…10011001111010000
31011022111200200202121
423103020103033100
5144321304244440
65323505024024
7606434114014
oct132310231720
934274620677
1012132103120
11516628a705
122427025014
1311b4638657
148313a8544
154b016734a
hex2d32133d0

12132103120 has 20 divisors (see below), whose sum is σ = 28207139940. Its totient is φ = 4852841216.

The previous prime is 12132103103. The next prime is 12132103129. The reversal of 12132103120 is 2130123121.

It can be written as a sum of positive squares in 2 ways, for example, as 3017964096 + 9114139024 = 54936^2 + 95468^2 .

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

It is a super-2 number, since 2×121321031202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12132103094 and 12132103103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132103129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75825565 + ... + 75825724.

It is an arithmetic number, because the mean of its divisors is an integer number (1410356997).

Almost surely, 212132103120 is an apocalyptic number.

12132103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132103120 is an abundant number, since it is smaller than the sum of its proper divisors (16075036820).

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

12132103120 is a wasteful number, since it uses less digits than its factorization.

12132103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151651302 (or 151651296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12132103120 its reverse (2130123121), we get a palindrome (14262226241).

The spelling of 12132103120 in words is "twelve billion, one hundred thirty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151651289 303302578 606605156 758256445 1213210312 1516512890 2426420624 3033025780 6066051560 12132103120