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12132340704 = 253511296773
BaseRepresentation
bin10110100110010010…
…01101001111100000
31011022112010202200000
423103021031033200
5144321334400304
65323514100000
7606436123461
oct132311151740
934275122600
1012132340704
115166432160
12242711a600
1311b46bc833
1483142ad68
154b01b2939
hex2d324d3e0

12132340704 has 576 divisors, whose sum is σ = 41541776640. Its totient is φ = 3448811520.

The previous prime is 12132340697. The next prime is 12132340741. The reversal of 12132340704 is 40704323121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166196412 + ... + 166196484.

It is an arithmetic number, because the mean of its divisors is an integer number (72121140).

Almost surely, 212132340704 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 12132340704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770888320).

12132340704 is an abundant number, since it is smaller than the sum of its proper divisors (29409435936).

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

12132340704 is a wasteful number, since it uses less digits than its factorization.

12132340704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 12132340704 its reverse (40704323121), we get a palindrome (52836663825).

It can be divided in two parts, 12132 and 340704, that added together give a square (352836 = 5942).

The spelling of 12132340704 in words is "twelve billion, one hundred thirty-two million, three hundred forty thousand, seven hundred four".