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121332233121 = 31122731617569
BaseRepresentation
bin111000011111111110…
…1101111001110100001
3102121011212000001202220
41300333331233032201
53441442022424441
6131423402501253
711523503651661
oct1607775571641
9377155001686
10121332233121
1147502978630
121b621b04829
13b5981c98a8
145c302581a1
153251e11466
hex1c3ff6f3a1

121332233121 has 16 divisors (see below), whose sum is σ = 176561000640. Its totient is φ = 73502289920.

The previous prime is 121332233107. The next prime is 121332233123.

121332233121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 121332233121 - 219 = 121331708833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121332233091 and 121332233100.

It is not an unprimeable number, because it can be changed into a prime (121332233123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733776 + ... + 883793.

It is an arithmetic number, because the mean of its divisors is an integer number (11035062540).

Almost surely, 2121332233121 is an apocalyptic number.

121332233121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121332233121 is a deficient number, since it is larger than the sum of its proper divisors (55228767519).

121332233121 is a wasteful number, since it uses less digits than its factorization.

121332233121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619856.

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 121332 and 233121, that added together give a palindrome (354453).

The spelling of 121332233121 in words is "one hundred twenty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 3 11 33 2273 6819 25003 75009 1617569 4852707 17793259 53379777 3676734337 11030203011 40444077707 121332233121