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12121012121 = 1723311019901
BaseRepresentation
bin10110100100111011…
…11111011110011001
31011021201211012202212
423102131333132121
5144310434341441
65322431204505
7606240621521
oct132235773631
934251735685
1012121012121
11515aaa4899
122423376735
1311b225432a
1482db1c681
154ae1c5eeb
hex2d277f799

12121012121 has 32 divisors (see below), whose sum is σ = 13962295296. Its totient is φ = 10454400000.

The previous prime is 12121012091. The next prime is 12121012139.

12121012121 is nontrivially palindromic in base 10.

12121012121 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121012121 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12121012096 and 12121012105.

It is not an unprimeable number, because it can be changed into a prime (12121011121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219271 + ... + 1229171.

It is an arithmetic number, because the mean of its divisors is an integer number (436321728).

Almost surely, 212121012121 is an apocalyptic number.

It is an amenable number.

12121012121 is a deficient number, since it is larger than the sum of its proper divisors (1841283175).

12121012121 is a wasteful number, since it uses less digits than its factorization.

12121012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10073.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 121210 and 12121, that added together give a palindrome (133331).

The spelling of 12121012121 in words is "twelve billion, one hundred twenty-one million, twelve thousand, one hundred twenty-one".

Divisors: 1 17 23 31 101 391 527 713 1717 2323 3131 9901 12121 39491 53227 72013 168317 227723 306931 1000001 1224221 3871291 5217827 7059413 17000017 23000023 31000031 120010021 391000391 527000527 713000713 12121012121