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122001121110 = 235112316073929
BaseRepresentation
bin111000110011111010…
…1010101111101010110
3102122220110122002121010
41301213311111331112
53444324241333420
6132014015233050
711546205263511
oct1614765257526
9378813562533
10122001121110
11478164a8020
121b789b18786
13b673964abb
145c95013d78
1532909da4e0
hex1c67d55f56

122001121110 has 64 divisors (see below), whose sum is σ = 333309012480. Its totient is φ = 28290113280.

The previous prime is 122001121097. The next prime is 122001121117. The reversal of 122001121110 is 11121100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8029375 + ... + 8044554.

It is an arithmetic number, because the mean of its divisors is an integer number (5207953320).

Almost surely, 2122001121110 is an apocalyptic number.

122001121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122001121110 is an abundant number, since it is smaller than the sum of its proper divisors (211307891370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122001121110 is a wasteful number, since it uses less digits than its factorization.

122001121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16073973.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122001121110 its reverse (11121100221), we get a palindrome (133122221331).

The spelling of 122001121110 in words is "one hundred twenty-two billion, one million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 16073929 32147858 48221787 80369645 96443574 160739290 176813219 241108935 353626438 369700367 482217870 530439657 739400734 884066095 1060879314 1109101101 1768132190 1848501835 2218202202 2652198285 3697003670 4066704037 5304396570 5545505505 8133408074 11091011010 12200112111 20333520185 24400224222 40667040370 61000560555 122001121110