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122001100111201 = 43169713327125453
BaseRepresentation
bin11011101111010110011000…
…001110111111110101100001
3120222222012011102200022202211
4123233112120032333311201
5111442331223112024301
61111250310501042121
734461200664400423
oct3357263016776541
9528865142608684
10122001100111201
11359674154a5903
12118247696b6341
13530c8678804cc
14221ac55a8a813
15e187ddedc051
hex6ef5983bfd61

122001100111201 has 16 divisors (see below), whose sum is σ = 124922267737344. Its totient is φ = 119083759409664.

The previous prime is 122001100111193. The next prime is 122001100111229. The reversal of 122001100111201 is 102111001100221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122001100111201 - 23 = 122001100111193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122001100111601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972421791 + ... + 972547243.

It is an arithmetic number, because the mean of its divisors is an integer number (7807641733584).

Almost surely, 2122001100111201 is an apocalyptic number.

It is an amenable number.

122001100111201 is a deficient number, since it is larger than the sum of its proper divisors (2921167626143).

122001100111201 is a wasteful number, since it uses less digits than its factorization.

122001100111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140520.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122001100111201 its reverse (102111001100221), we get a palindrome (224112101211422).

The spelling of 122001100111201 in words is "one hundred twenty-two trillion, one billion, one hundred million, one hundred eleven thousand, two hundred one".

Divisors: 1 43 1697 13327 72971 125453 573061 5394479 22615919 212893741 972484517 1671912131 9154430863 71892221633 2837234886307 122001100111201