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122001012122011 = 1113759806090639
BaseRepresentation
bin11011101111010110010010…
…111111010110000110011011
3120222222011221022010000021221
4123233112102333112012123
5111442331033100401021
61111250254035112511
734461165545451241
oct3357262277260633
9528864838100257
10122001012122011
113596737a868270
1211824744142737
13530c8525838b9
14221ac48104791
15e187d640b241
hex6ef592fd619b

122001012122011 has 8 divisors (see below), whose sum is σ = 133101686476800. Its totient is φ = 110901949976040.

The previous prime is 122001012121997. The next prime is 122001012122023. The reversal of 122001012122011 is 110221210100221.

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 122001012122011 - 211 = 122001012119963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122001012122051) 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 7 ways as a sum of consecutive naturals, for example, 402893971 + ... + 403196668.

It is an arithmetic number, because the mean of its divisors is an integer number (16637710809600).

Almost surely, 2122001012122011 is an apocalyptic number.

122001012122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122001012122011 is a deficient number, since it is larger than the sum of its proper divisors (11100674354789).

122001012122011 is a wasteful number, since it uses less digits than its factorization.

122001012122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806104409.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122001012122011 its reverse (110221210100221), we get a palindrome (232222222222232).

The spelling of 122001012122011 in words is "one hundred twenty-two trillion, one billion, twelve million, one hundred twenty-two thousand, eleven".

Divisors: 1 11 13759 151349 806090639 8866997029 11091001102001 122001012122011