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122012013001 = 374617153193
BaseRepresentation
bin111000110100001111…
…0111001000111001001
3102122221020010110110111
41301220132321013021
53444340033404001
6132015044514321
711546366666344
oct1615036710711
9378836113414
10122012013001
114782166728a
121b7916ab9a1
13b675ca95c8
145c9664b45b
15329193c851
hex1c687b91c9

122012013001 has 8 divisors (see below), whose sum is σ = 125581473864. Its totient is φ = 118456859520.

The previous prime is 122012012977. The next prime is 122012013017. The reversal of 122012013001 is 100310210221.

It can be written as a sum of positive squares in 4 ways, for example, as 69010764601 + 53001248400 = 262699^2 + 230220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122012013001 - 29 = 122012012489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122012013601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3559540 + ... + 3593653.

It is an arithmetic number, because the mean of its divisors is an integer number (15697684233).

Almost surely, 2122012013001 is an apocalyptic number.

It is an amenable number.

122012013001 is a deficient number, since it is larger than the sum of its proper divisors (3569460863).

122012013001 is an equidigital number, since it uses as much as digits as its factorization.

122012013001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7153691.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122012013001 its reverse (100310210221), we get a palindrome (222322223222).

It can be divided in two parts, 12201 and 2013001, that added together give a palindrome (2025202).

The spelling of 122012013001 in words is "one hundred twenty-two billion, twelve million, thirteen thousand, one".

Divisors: 1 37 461 17057 7153193 264668141 3297621973 122012013001