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122000013001 = 1718139649013
BaseRepresentation
bin111000110011111000…
…1000111011011001001
3102122220101112210120001
41301213301013123021
53444324000404001
6132013535403001
711546163000046
oct1614761073311
9378811483501
10122000013001
1147815910529
121b789683461
13b673667609
145c94c061cd
15329086c001
hex1c67c476c9

122000013001 has 8 divisors (see below), whose sum is σ = 129890169864. Its totient is φ = 114189154560.

The previous prime is 122000012987. The next prime is 122000013017. The reversal of 122000013001 is 100310000221.

It can be written as a sum of positive squares in 4 ways, for example, as 3198468025 + 118801544976 = 56555^2 + 344676^2 .

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 122000013001 - 25 = 122000012969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122000013071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19821430 + ... + 19827583.

It is an arithmetic number, because the mean of its divisors is an integer number (16236271233).

Almost surely, 2122000013001 is an apocalyptic number.

It is an amenable number.

122000013001 is a deficient number, since it is larger than the sum of its proper divisors (7890156863).

122000013001 is a wasteful number, since it uses less digits than its factorization.

122000013001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39649211.

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

Adding to 122000013001 its reverse (100310000221), we get a palindrome (222310013222).

The spelling of 122000013001 in words is "one hundred twenty-two billion, thirteen thousand, one".

Divisors: 1 17 181 3077 39649013 674033221 7176471353 122000013001