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12002122132985 = 58934977280977
BaseRepresentation
bin1010111010100111011000…
…1110011110110111111001
31120111101120112020121222102
42232221312032132313321
53033120321231223420
641305410534433145
72346060526601105
oct256516616366771
946441515217872
1012002122132985
11390808705a816
12141a1125027b5
13690a4525998a
142d6c9778a905
1515c3093aaa75
hexaea7639edf9

12002122132985 has 16 divisors (see below), whose sum is σ = 14606104842000. Its totient is φ = 9466610436096.

The previous prime is 12002122132943. The next prime is 12002122132991. The reversal of 12002122132985 is 58923122120021.

It can be written as a sum of positive squares in 8 ways, for example, as 276284794384 + 11725837338601 = 525628^2 + 3424301^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002122132985 - 216 = 12002122067449 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38485184 + ... + 38795793.

It is an arithmetic number, because the mean of its divisors is an integer number (912881552625).

Almost surely, 212002122132985 is an apocalyptic number.

It is an amenable number.

12002122132985 is a deficient number, since it is larger than the sum of its proper divisors (2603982709015).

12002122132985 is an equidigital number, since it uses as much as digits as its factorization.

12002122132985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77281420.

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 12002122132985 in words is "twelve trillion, two billion, one hundred twenty-two million, one hundred thirty-two thousand, nine hundred eighty-five".

Divisors: 1 5 89 349 445 1745 31061 155305 77280977 386404885 6878006953 26971060973 34390034765 134855304865 2400424426597 12002122132985