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12034122143021 = 112990110045001
BaseRepresentation
bin1010111100011110100110…
…0100110101010100101101
31120121110011122220120100022
42233013221210311110231
53034131340232034041
641332222134011525
72351302523313026
oct257075144652455
946543148816308
1012034122143021
11391a708247a00
1214243631a6ba5
13693a74aa0864
142d8651693c4d
1515d07d89a24b
hexaf1e993552d

12034122143021 has 12 divisors (see below), whose sum is σ = 13228926103932. Its totient is φ = 10939005000000.

The previous prime is 12034122142997. The next prime is 12034122143023.

It is a happy number.

12034122143021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 5261454213796 + 6772667929225 = 2293786^2 + 2602435^2 .

It is a de Polignac number, because none of the positive numbers 2k-12034122143021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12034122143023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3824480 + ... + 6220521.

It is an arithmetic number, because the mean of its divisors is an integer number (1102410508661).

Almost surely, 212034122143021 is an apocalyptic number.

12034122143021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12034122143021 is a deficient number, since it is larger than the sum of its proper divisors (1194803960911).

12034122143021 is a wasteful number, since it uses less digits than its factorization.

12034122143021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10054924 (or 10054913 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 1203412 and 2143021, that added together give a palindrome (3346433).

The spelling of 12034122143021 in words is "twelve trillion, thirty-four billion, one hundred twenty-two million, one hundred forty-three thousand, twenty-one".

Divisors: 1 11 121 9901 108911 1198021 10045001 110495011 1215445121 99455554901 1094011103911 12034122143021