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122100200200121 = 11132367554086667
BaseRepresentation
bin11011110000110010101011…
…000011110101011110111001
3121000022122221212222110002112
4123300302223003311132321
5112000442202222400441
61111404020235542105
734501306533300443
oct3360625303653671
9530278855873075
10122100200200121
11359a544995a440
121183ba05bba935
135318ccbac7b90
1422219773b5493
15e1b18e2164eb
hex6f0cab0f57b9

122100200200121 has 32 divisors (see below), whose sum is σ = 151917266285568. Its totient is φ = 96544060683840.

The previous prime is 122100200200103. The next prime is 122100200200219. The reversal of 122100200200121 is 121002002001221.

It is not a de Polignac number, because 122100200200121 - 222 = 122100196005817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122100200200096 and 122100200200105.

It is not an unprimeable number, because it can be changed into a prime (122100200400121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276822971 + ... + 277263696.

It is an arithmetic number, because the mean of its divisors is an integer number (4747414571424).

Almost surely, 2122100200200121 is an apocalyptic number.

122100200200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100200200121 is a deficient number, since it is larger than the sum of its proper divisors (29817066085447).

122100200200121 is a wasteful number, since it uses less digits than its factorization.

122100200200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554086781.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122100200200121 its reverse (121002002001221), we get a palindrome (243102202201342).

It can be divided in two parts, 1 and 22100200200121, that added together give a palindrome (22100200200122).

The spelling of 122100200200121 in words is "one hundred twenty-two trillion, one hundred billion, two hundred million, two hundred thousand, one hundred twenty-one".

Divisors: 1 11 13 23 67 143 253 299 737 871 1541 3289 9581 16951 20033 220363 554086667 6094953337 7203126671 12743993341 37123806689 79234393381 140183926751 165671913433 408361873579 482609486957 853847553847 1822391047763 5308704356527 9392323092317 11100018200011 122100200200121