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12132400122 = 2323718216817
BaseRepresentation
bin10110100110010010…
…11011101111111010
31011022112020210011200
423103021123233322
5144321343300442
65323515235030
7606436461633
oct132311335772
934275223150
1012132400122
115166472867
122427148a76
1311b47108ab
1483144488a
154b01c534c
hex2d325bbfa

12132400122 has 24 divisors (see below), whose sum is σ = 26997324276. Its totient is φ = 3934832256.

The previous prime is 12132400121. The next prime is 12132400123. The reversal of 12132400122 is 22100423121.

It is a happy number.

12132400122 is a `hidden beast` number, since 12 + 132 + 400 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (12132400121) and next prime (12132400123).

It can be written as a sum of positive squares in 2 ways, for example, as 11575392921 + 557007201 = 107589^2 + 23601^2 .

It is a super-2 number, since 2×121324001222 (a number of 21 digits) contains 22 as substring.

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 = 12132400095 and 12132400104.

It is not an unprimeable number, because it can be changed into a prime (12132400121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9107743 + ... + 9109074.

Almost surely, 212132400122 is an apocalyptic number.

12132400122 is an abundant number, since it is smaller than the sum of its proper divisors (14864924154).

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

12132400122 is a wasteful number, since it uses less digits than its factorization.

12132400122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18216862 (or 18216859 counting only the distinct ones).

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

Adding to 12132400122 its reverse (22100423121), we get a palindrome (34232823243).

The spelling of 12132400122 in words is "twelve billion, one hundred thirty-two million, four hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 18216817 36433634 54650451 109300902 163951353 327902706 674022229 1348044458 2022066687 4044133374 6066200061 12132400122