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121422404224121 = 711213101238345817
BaseRepresentation
bin11011100110111011011011…
…010001011000010001111001
3120220220212110010021100010212
4123212323123101120101321
5111403341040440132441
61110124403223520505
734401323240456660
oct3346733321302171
9526825403240125
10121422404224121
1135763a52788700
12117505855b9135
13529a1118459a0
1421dac38d9ddd7
15e0871e63deeb
hex6e6edb458479

121422404224121 has 96 divisors (see below), whose sum is σ = 165963358331904. Its totient is φ = 86433899904000.

The previous prime is 121422404224117. The next prime is 121422404224181.

121422404224121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121422404224121 - 22 = 121422404224117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121422404224181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2650137605 + ... + 2650183421.

It is an arithmetic number, because the mean of its divisors is an integer number (1728784982624).

Almost surely, 2121422404224121 is an apocalyptic number.

121422404224121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121422404224121 is a deficient number, since it is larger than the sum of its proper divisors (44540954107783).

121422404224121 is a wasteful number, since it uses less digits than its factorization.

121422404224121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48343 (or 48332 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 12142240 and 4224121, that added together give a palindrome (16366361).

The spelling of 121422404224121 in words is "one hundred twenty-one trillion, four hundred twenty-two billion, four hundred four million, two hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 101 121 143 707 847 1001 1111 1313 1573 2383 7777 9191 11011 12221 14443 16681 26213 30979 45817 85547 101101 158873 183491 216853 240683 288343 320719 340769 503987 595621 1112111 1684781 2018401 2385383 2647513 3128879 3527909 3748459 4169347 4627517 5543857 6551831 18532591 21902153 26239213 29122643 32392619 34417669 38806999 45862817 50902687 60157721 72070141 109181911 203858501 240923683 356318809 378594359 421104047 504490987 559929557 661734931 764273377 1201001021 1419364843 2650160513 3919506899 4632144517 7279084241 8407007147 9935553901 11027373011 13211011231 15613013273 50953589687 77191611077 92477078617 109291092911 121301103121 143355849143 171743146003 849107721847 1003490944001 1202202022021 1334312134331 1576914340573 9340184940317 11038400384011 17346057746303 121422404224121