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122001221121 = 3139113433849
BaseRepresentation
bin111000110011111010…
…1101110011000000001
3102122220110211011210020
41301213311232120001
53444324303033441
6132014021324053
711546206161213
oct1614765563001
9378813734706
10122001221121
114781656617a
121b789b66629
13b67399b490
145c9503c5b3
153290a09e66
hex1c67d6e601

122001221121 has 16 divisors (see below), whose sum is σ = 175373587200. Its totient is φ = 74995240320.

The previous prime is 122001221117. The next prime is 122001221179. The reversal of 122001221121 is 121122100221.

It is not a de Polignac number, because 122001221121 - 22 = 122001221117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122001221121.

It is not an unprimeable number, because it can be changed into a prime (122001221921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1681396 + ... + 1752453.

It is an arithmetic number, because the mean of its divisors is an integer number (10960849200).

Almost surely, 2122001221121 is an apocalyptic number.

It is an amenable number.

122001221121 is a deficient number, since it is larger than the sum of its proper divisors (53372366079).

122001221121 is a wasteful number, since it uses less digits than its factorization.

122001221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434776.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122001221121 its reverse (121122100221), we get a palindrome (243123321342).

It can be divided in two parts, 12200 and 1221121, that added together give a palindrome (1233321).

The spelling of 122001221121 in words is "one hundred twenty-two billion, one million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 13 39 911 2733 11843 35529 3433849 10301547 44640037 133920111 3128236439 9384709317 40667073707 122001221121