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12261466416221 = 1112131341768491
BaseRepresentation
bin1011001001101101100001…
…0110011010010001011101
31121102011222200021020220222
42302123120112122101131
53101342440400304341
642024501230451125
72403601365616121
oct262333026322135
947364880236828
1012261466416221
1139a80711552a0
121460430363aa5
136ac3361ccc39
1430565b1d3581
15163e3770b44b
hexb26d859a45d

12261466416221 has 16 divisors (see below), whose sum is σ = 13388365756608. Its totient is φ = 11136605500800.

The previous prime is 12261466416197. The next prime is 12261466416253.

12261466416221 is nontrivially palindromic in base 10.

12261466416221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12261466416221 - 210 = 12261466415197 is a prime.

It is a super-2 number, since 2×122614664162212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12261466416821) 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, 178988786 + ... + 179057276.

It is an arithmetic number, because the mean of its divisors is an integer number (836772859788).

Almost surely, 212261466416221 is an apocalyptic number.

12261466416221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12261466416221 is a deficient number, since it is larger than the sum of its proper divisors (1126899340387).

12261466416221 is a wasteful number, since it uses less digits than its factorization.

12261466416221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83132.

The product of its digits is 331776, while the sum is 44.

The spelling of 12261466416221 in words is "twelve trillion, two hundred sixty-one billion, four hundred sixty-six million, four hundred sixteen thousand, two hundred twenty-one".

Divisors: 1 11 1213 13343 13417 68491 147587 753401 16274821 83079583 179023031 913875413 918943747 10108381217 1114678765111 12261466416221