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132120231132320 = 255101313193313513
BaseRepresentation
bin11110000010100110100011…
…011100011011110010100000
3122022210120102001221111011122
4132002212203130123302200
5114304124213132213240
61144555110221231412
736554241331032224
oct3602464334336240
9568716361844148
10132120231132320
113910896a11a282
1212999952102568
135894b65b6b3b2
14248a92095c784
151041b3c9854b5
hex7829a371bca0

132120231132320 has 192 divisors, whose sum is σ = 316418599524384. Its totient is φ = 52126831411200.

The previous prime is 132120231132311. The next prime is 132120231132349. The reversal of 132120231132320 is 23231132021231.

It can be written as a sum of positive squares in 16 ways, for example, as 17132612392336 + 114987618739984 = 4139156^2 + 10723228^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132120231132320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9777261884 + ... + 9777275396.

Almost surely, 2132120231132320 is an apocalyptic number.

132120231132320 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 132120231132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158209299762192).

132120231132320 is an abundant number, since it is smaller than the sum of its proper divisors (184298368392064).

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

132120231132320 is a wasteful number, since it uses less digits than its factorization.

132120231132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15875 (or 15867 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 132120231132320 its reverse (23231132021231), we get a palindrome (155351363153551).

The spelling of 132120231132320 in words is "one hundred thirty-two trillion, one hundred twenty billion, two hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty".