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12140051220 = 223251117596113
BaseRepresentation
bin10110100111001101…
…00111101100010100
31011100001122111111200
423103212213230110
5144330323114340
65324351232500
7606561506223
oct132346475424
934301574450
1012140051220
11516a819190
122429818730
1311b618c27b
14832476cba
154b0bd7330
hex2d39a7b14

12140051220 has 288 divisors, whose sum is σ = 43263642240. Its totient is φ = 2722529280.

The previous prime is 12140051179. The next prime is 12140051221. The reversal of 12140051220 is 2215004121.

12140051220 is a `hidden beast` number, since 12 + 140 + 0 + 512 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12140051193 and 12140051202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140051221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1982884 + ... + 1988996.

It is an arithmetic number, because the mean of its divisors is an integer number (150220980).

Almost surely, 212140051220 is an apocalyptic number.

12140051220 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 12140051220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21631821120).

12140051220 is an abundant number, since it is smaller than the sum of its proper divisors (31123591020).

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

12140051220 is a wasteful number, since it uses less digits than its factorization.

12140051220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12140051220 its reverse (2215004121), we get a palindrome (14355055341).

The spelling of 12140051220 in words is "twelve billion, one hundred forty million, fifty-one thousand, two hundred twenty".