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121122131121131 = 780921388333237
BaseRepresentation
bin11011100010100011110001…
…100110011001001111101011
3120212212011101120110020112012
4123202203301212121033223
5111333431111031334011
61105334423333110135
734340533215300560
oct3342436146311753
9525764346406465
10121122131121131
1135658675409058
121170234478834b
1352779ca275a9a
1421ca4b188a867
15e009e7ed5a8b
hex6e28f19993eb

121122131121131 has 8 divisors (see below), whose sum is σ = 138596399382240. Its totient is φ = 103690639528128.

The previous prime is 121122131121127. The next prime is 121122131121151. The reversal of 121122131121131 is 131121131221121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121122131121131 - 22 = 121122131121127 is a prime.

It is a super-2 number, since 2×1211221311211312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121122131121097 and 121122131121106.

It is not an unprimeable number, because it can be changed into a prime (121122131121151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10694160956 + ... + 10694172281.

It is an arithmetic number, because the mean of its divisors is an integer number (17324549922780).

Almost surely, 2121122131121131 is an apocalyptic number.

121122131121131 is a deficient number, since it is larger than the sum of its proper divisors (17474268261109).

121122131121131 is an equidigital number, since it uses as much as digits as its factorization.

121122131121131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21388334053.

The product of its digits is 144, while the sum is 23.

Adding to 121122131121131 its reverse (131121131221121), we get a palindrome (252243262342252).

The spelling of 121122131121131 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 7 809 5663 21388333237 149718332659 17303161588733 121122131121131