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120132000000001 = 1128928973850657
BaseRepresentation
bin11011010100001001101001…
…001011111010100000000001
3120202100111200122001210210101
4123110021221023322200001
5111221220314000000001
61103255513503002401
734206151643523253
oct3324115113724001
9522314618053711
10120132000000001
113530677118aa00
1211582477899401
135205525778852
1421945c3dd3cd3
15dd4d97d7ba01
hex6d42692fa801

120132000000001 has 24 divisors (see below), whose sum is σ = 133575706401480. Its totient is φ = 107946517831680.

The previous prime is 120131999999939. The next prime is 120132000000053. The reversal of 120132000000001 is 100000000231021.

It can be written as a sum of positive squares in 4 ways, for example, as 3933086206401 + 116198913793600 = 1983201^2 + 10779560^2 .

It is not a de Polignac number, because 120132000000001 - 221 = 120131997902849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120132000040001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29272465 + ... + 33123121.

It is an arithmetic number, because the mean of its divisors is an integer number (5565654433395).

Almost surely, 2120132000000001 is an apocalyptic number.

120132000000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120132000000001 is a deficient number, since it is larger than the sum of its proper divisors (13443706401479).

120132000000001 is a wasteful number, since it uses less digits than its factorization.

120132000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853665 (or 3853654 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 120132000000001 its reverse (100000000231021), we get a palindrome (220132000231022).

The spelling of 120132000000001 in words is "one hundred twenty trillion, one hundred thirty-two billion, one", and thus it is an aban number.

Divisors: 1 11 89 121 979 2897 10769 31867 257833 350537 2836163 3850657 31197793 42357227 342708473 465929497 3769793203 11155353329 41467725233 122708886619 992826446281 1349797752809 10921090909091 120132000000001